What is the Least Common Multiple of 62745 and 62754?

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 62745 and 62754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62745 and 62754, than apply into the LCM equation.

GCF(62745,62754) = 3
LCM(62745,62754) = ( 62745 × 62754) / 3
LCM(62745,62754) = 3937499730 / 3
LCM(62745,62754) = 1312499910

Least Common Multiple (LCM) of 62745 and 62754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62745 and 62754. First we will calculate the prime factors of 62745 and 62754.

Prime Factorization of 62745

Prime Factorization of 62754

Now multiplying the highest exponent prime factors to calculate the LCM of 62745 and 62754.

LCM(62745,62754) = 3¹ × 5¹ × 47¹ × 89¹ × 2¹ × 10459¹
LCM(62745,62754) = 1312499910