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 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 Factorization of 4888

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