What is the Least Common Multiple of 51605 and 51625?

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 51605 and 51625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51605 and 51625, than apply into the LCM equation.

GCF(51605,51625) = 5
LCM(51605,51625) = ( 51605 × 51625) / 5
LCM(51605,51625) = 2664108125 / 5
LCM(51605,51625) = 532821625

Least Common Multiple (LCM) of 51605 and 51625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51605 and 51625. First we will calculate the prime factors of 51605 and 51625.

Prime Factorization of 51605

Prime Factorization of 51625

Now multiplying the highest exponent prime factors to calculate the LCM of 51605 and 51625.

LCM(51605,51625) = 5³ × 10321¹ × 7¹ × 59¹
LCM(51605,51625) = 532821625