What is the Least Common Multiple of 51625 and 51639?

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 51639 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 51639, than apply into the LCM equation.

GCF(51625,51639) = 7
LCM(51625,51639) = ( 51625 × 51639) / 7
LCM(51625,51639) = 2665863375 / 7
LCM(51625,51639) = 380837625

Least Common Multiple (LCM) of 51625 and 51639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51625 and 51639. First we will calculate the prime factors of 51625 and 51639.

Prime Factorization of 51625

Prime Factorization of 51639

Now multiplying the highest exponent prime factors to calculate the LCM of 51625 and 51639.

LCM(51625,51639) = 5³ × 7¹ × 59¹ × 3¹ × 2459¹
LCM(51625,51639) = 380837625