What is the Least Common Multiple of 52612 and 52625?

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 52612 and 52625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52612 and 52625, than apply into the LCM equation.

GCF(52612,52625) = 1
LCM(52612,52625) = ( 52612 × 52625) / 1
LCM(52612,52625) = 2768706500 / 1
LCM(52612,52625) = 2768706500

Least Common Multiple (LCM) of 52612 and 52625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52612 and 52625. First we will calculate the prime factors of 52612 and 52625.

Prime Factorization of 52612

Prime Factorization of 52625

Now multiplying the highest exponent prime factors to calculate the LCM of 52612 and 52625.

LCM(52612,52625) = 2² × 7¹ × 1879¹ × 5³ × 421¹
LCM(52612,52625) = 2768706500