What is the Least Common Multiple of 88695 and 88715?

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 88695 and 88715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88695 and 88715, than apply into the LCM equation.

GCF(88695,88715) = 5
LCM(88695,88715) = ( 88695 × 88715) / 5
LCM(88695,88715) = 7868576925 / 5
LCM(88695,88715) = 1573715385

Least Common Multiple (LCM) of 88695 and 88715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88695 and 88715. First we will calculate the prime factors of 88695 and 88715.

Prime Factorization of 88695

Prime Factorization of 88715

Now multiplying the highest exponent prime factors to calculate the LCM of 88695 and 88715.

LCM(88695,88715) = 3⁵ × 5¹ × 73¹ × 11¹ × 1613¹
LCM(88695,88715) = 1573715385