What is the Least Common Multiple of 56748 and 56762?

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 56748 and 56762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56748 and 56762, than apply into the LCM equation.

GCF(56748,56762) = 2
LCM(56748,56762) = ( 56748 × 56762) / 2
LCM(56748,56762) = 3221129976 / 2
LCM(56748,56762) = 1610564988

Least Common Multiple (LCM) of 56748 and 56762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56748 and 56762. First we will calculate the prime factors of 56748 and 56762.

Prime Factorization of 56748

Prime Factorization of 56762

Now multiplying the highest exponent prime factors to calculate the LCM of 56748 and 56762.

LCM(56748,56762) = 2² × 3¹ × 4729¹ × 101¹ × 281¹
LCM(56748,56762) = 1610564988