What is the Least Common Multiple of 53646 and 53652?

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 53646 and 53652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53646 and 53652, than apply into the LCM equation.

GCF(53646,53652) = 6
LCM(53646,53652) = ( 53646 × 53652) / 6
LCM(53646,53652) = 2878215192 / 6
LCM(53646,53652) = 479702532

Least Common Multiple (LCM) of 53646 and 53652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53646 and 53652. First we will calculate the prime factors of 53646 and 53652.

Prime Factorization of 53646

Prime Factorization of 53652

Now multiplying the highest exponent prime factors to calculate the LCM of 53646 and 53652.

LCM(53646,53652) = 2² × 3¹ × 8941¹ × 17¹ × 263¹
LCM(53646,53652) = 479702532