What is the Least Common Multiple of 89715 and 89735?

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 89715 and 89735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89715 and 89735, than apply into the LCM equation.

GCF(89715,89735) = 5
LCM(89715,89735) = ( 89715 × 89735) / 5
LCM(89715,89735) = 8050575525 / 5
LCM(89715,89735) = 1610115105

Least Common Multiple (LCM) of 89715 and 89735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89715 and 89735. First we will calculate the prime factors of 89715 and 89735.

Prime Factorization of 89715

Prime Factorization of 89735

Now multiplying the highest exponent prime factors to calculate the LCM of 89715 and 89735.

LCM(89715,89735) = 3¹ × 5¹ × 5981¹ × 131¹ × 137¹
LCM(89715,89735) = 1610115105