Answer:
The LCM of 2 and 4 is 4. To find the least common multiple of 2 and 4, we need to find the multiples of 2 and 4 (multiples of 2 = 2, 4, 6, 8; multiples of 4 = 4, 8, 12, 16) and choose the smallest multiple that is exactly divisible by 2 and 4, i.e., 4.
Step-by-step explanation:
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LCM of 2 and 4
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LCM of 2 and 4 is the smallest number among all common multiples of 2 and 4. The first few multiples of 2 and 4 are (2, 4, 6, 8, 10, . . . ) and (4, 8, 12, 16, . . . ) respectively. There are 3 commonly used methods to find LCM of 2 and 4 - by listing multiples, by division method, and by prime factorization.
What is the LCM of 2 and 4?
Answer: LCM of 2 and 4 is 4.
LCM of 2 and 4
Explanation:
The LCM of two non-zero integers, x(2) and y(4), is the smallest positive integer m(4) that is divisible by both x(2) and y(4) without any remainder.
Methods to Find LCM of 2 and 4
Let's look at the different methods for finding the LCM of 2 and 4.
By Prime Factorization Method
By Listing Multiples
By Division Method
LCM of 2 and 4 by Prime Factorization
Prime factorization of 2 and 4 is (2) = 21 and (2 × 2) = 22 respectively. LCM of 2 and 4 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 = 4.
Hence, the LCM of 2 and 4 by prime factorization is 4.
