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What is the Least Common Multiple of 4896 and 4908?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4896 and 4908 is 2002464.

LCM(4896,4908) = 2002464

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Least Common Multiple of 4896 and 4908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4896 and 4908, than apply into the LCM equation.

GCF(4896,4908) = 12
LCM(4896,4908) = ( 4896 × 4908) / 12
LCM(4896,4908) = 24029568 / 12
LCM(4896,4908) = 2002464

Least Common Multiple (LCM) of 4896 and 4908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4896 and 4908. First we will calculate the prime factors of 4896 and 4908.

Prime Factorization of 4896

Prime factors of 4896 are 2, 3, 17. Prime factorization of 4896 in exponential form is:

4896 = 25 × 32 × 171

Prime Factorization of 4908

Prime factors of 4908 are 2, 3, 409. Prime factorization of 4908 in exponential form is:

4908 = 22 × 31 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 4896 and 4908.

LCM(4896,4908) = 25 × 32 × 171 × 4091
LCM(4896,4908) = 2002464