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What is the Least Common Multiple of 4968 and 4976?

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 4968 and 4976 is 3090096.

LCM(4968,4976) = 3090096

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Least Common Multiple of 4968 and 4976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4968 and 4976, than apply into the LCM equation.

GCF(4968,4976) = 8
LCM(4968,4976) = ( 4968 × 4976) / 8
LCM(4968,4976) = 24720768 / 8
LCM(4968,4976) = 3090096

Least Common Multiple (LCM) of 4968 and 4976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4968 and 4976. First we will calculate the prime factors of 4968 and 4976.

Prime Factorization of 4968

Prime factors of 4968 are 2, 3, 23. Prime factorization of 4968 in exponential form is:

4968 = 23 × 33 × 231

Prime Factorization of 4976

Prime factors of 4976 are 2, 311. Prime factorization of 4976 in exponential form is:

4976 = 24 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4968 and 4976.

LCM(4968,4976) = 24 × 33 × 231 × 3111
LCM(4968,4976) = 3090096