What is the Least Common Multiple of 95565 and 95580?

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 95565 and 95580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95565 and 95580, than apply into the LCM equation.

GCF(95565,95580) = 15
LCM(95565,95580) = ( 95565 × 95580) / 15
LCM(95565,95580) = 9134102700 / 15
LCM(95565,95580) = 608940180

Least Common Multiple (LCM) of 95565 and 95580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95565 and 95580. First we will calculate the prime factors of 95565 and 95580.

Prime Factorization of 95565

Prime Factorization of 95580

Now multiplying the highest exponent prime factors to calculate the LCM of 95565 and 95580.

LCM(95565,95580) = 3⁴ × 5¹ × 23¹ × 277¹ × 2² × 59¹
LCM(95565,95580) = 608940180