What is the Least Common Multiple of 51636 and 51652?

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 51636 and 51652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51636 and 51652, than apply into the LCM equation.

GCF(51636,51652) = 4
LCM(51636,51652) = ( 51636 × 51652) / 4
LCM(51636,51652) = 2667102672 / 4
LCM(51636,51652) = 666775668

Least Common Multiple (LCM) of 51636 and 51652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51636 and 51652. First we will calculate the prime factors of 51636 and 51652.

Prime Factorization of 51636

Prime Factorization of 51652

Now multiplying the highest exponent prime factors to calculate the LCM of 51636 and 51652.

LCM(51636,51652) = 2² × 3¹ × 13¹ × 331¹ × 37¹ × 349¹
LCM(51636,51652) = 666775668