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What is the Least Common Multiple of 4872 and 4888?

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 4872 and 4888 is 2976792.

LCM(4872,4888) = 2976792

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Least Common Multiple of 4872 and 4888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4872 and 4888, than apply into the LCM equation.

GCF(4872,4888) = 8
LCM(4872,4888) = ( 4872 × 4888) / 8
LCM(4872,4888) = 23814336 / 8
LCM(4872,4888) = 2976792

Least Common Multiple (LCM) of 4872 and 4888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4872 and 4888. First we will calculate the prime factors of 4872 and 4888.

Prime Factorization of 4872

Prime factors of 4872 are 2, 3, 7, 29. Prime factorization of 4872 in exponential form is:

4872 = 23 × 31 × 71 × 291

Prime Factorization of 4888

Prime factors of 4888 are 2, 13, 47. Prime factorization of 4888 in exponential form is:

4888 = 23 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 4872 and 4888.

LCM(4872,4888) = 23 × 31 × 71 × 291 × 131 × 471
LCM(4872,4888) = 2976792