What is the Least Common Multiple of 88695 and 88714?

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 88714 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 88714, than apply into the LCM equation.

GCF(88695,88714) = 1
LCM(88695,88714) = ( 88695 × 88714) / 1
LCM(88695,88714) = 7868488230 / 1
LCM(88695,88714) = 7868488230

Least Common Multiple (LCM) of 88695 and 88714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88695 and 88714. First we will calculate the prime factors of 88695 and 88714.

Prime Factorization of 88695

Prime Factorization of 88714

Now multiplying the highest exponent prime factors to calculate the LCM of 88695 and 88714.

LCM(88695,88714) = 3⁵ × 5¹ × 73¹ × 2¹ × 44357¹
LCM(88695,88714) = 7868488230