What is the Least Common Multiple of 51625 and 51641?

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 51625 and 51641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51625 and 51641, than apply into the LCM equation.

GCF(51625,51641) = 1
LCM(51625,51641) = ( 51625 × 51641) / 1
LCM(51625,51641) = 2665966625 / 1
LCM(51625,51641) = 2665966625

Least Common Multiple (LCM) of 51625 and 51641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51625 and 51641. First we will calculate the prime factors of 51625 and 51641.

Prime Factorization of 51625

Prime Factorization of 51641

Now multiplying the highest exponent prime factors to calculate the LCM of 51625 and 51641.

LCM(51625,51641) = 5³ × 7¹ × 59¹ × 113¹ × 457¹
LCM(51625,51641) = 2665966625