What is the Least Common Multiple of 95670 and 95688?

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 95670 and 95688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95670 and 95688, than apply into the LCM equation.

GCF(95670,95688) = 18
LCM(95670,95688) = ( 95670 × 95688) / 18
LCM(95670,95688) = 9154470960 / 18
LCM(95670,95688) = 508581720

Least Common Multiple (LCM) of 95670 and 95688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95670 and 95688. First we will calculate the prime factors of 95670 and 95688.

Prime Factorization of 95670

Prime Factorization of 95688

Now multiplying the highest exponent prime factors to calculate the LCM of 95670 and 95688.

LCM(95670,95688) = 2³ × 3³ × 5¹ × 1063¹ × 443¹
LCM(95670,95688) = 508581720