What is the Least Common Multiple of 89695 and 89715?

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 89695 and 89715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89695 and 89715, than apply into the LCM equation.

GCF(89695,89715) = 5
LCM(89695,89715) = ( 89695 × 89715) / 5
LCM(89695,89715) = 8046986925 / 5
LCM(89695,89715) = 1609397385

Least Common Multiple (LCM) of 89695 and 89715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89695 and 89715. First we will calculate the prime factors of 89695 and 89715.

Prime Factorization of 89695

Prime Factorization of 89715

Now multiplying the highest exponent prime factors to calculate the LCM of 89695 and 89715.

LCM(89695,89715) = 5¹ × 17939¹ × 3¹ × 5981¹
LCM(89695,89715) = 1609397385