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What is the Least Common Multiple of 4949 and 4962?

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 4949 and 4962 is 24556938.

LCM(4949,4962) = 24556938

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Least Common Multiple of 4949 and 4962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4949 and 4962, than apply into the LCM equation.

GCF(4949,4962) = 1
LCM(4949,4962) = ( 4949 × 4962) / 1
LCM(4949,4962) = 24556938 / 1
LCM(4949,4962) = 24556938

Least Common Multiple (LCM) of 4949 and 4962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4949 and 4962. First we will calculate the prime factors of 4949 and 4962.

Prime Factorization of 4949

Prime factors of 4949 are 7, 101. Prime factorization of 4949 in exponential form is:

4949 = 72 × 1011

Prime Factorization of 4962

Prime factors of 4962 are 2, 3, 827. Prime factorization of 4962 in exponential form is:

4962 = 21 × 31 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 4949 and 4962.

LCM(4949,4962) = 72 × 1011 × 21 × 31 × 8271
LCM(4949,4962) = 24556938