What is the Least Common Multiple of 95580 and 95600?

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 95580 and 95600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95580 and 95600, than apply into the LCM equation.

GCF(95580,95600) = 20
LCM(95580,95600) = ( 95580 × 95600) / 20
LCM(95580,95600) = 9137448000 / 20
LCM(95580,95600) = 456872400

Least Common Multiple (LCM) of 95580 and 95600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95580 and 95600. First we will calculate the prime factors of 95580 and 95600.

Prime Factorization of 95580

Prime Factorization of 95600

Now multiplying the highest exponent prime factors to calculate the LCM of 95580 and 95600.

LCM(95580,95600) = 2⁴ × 3⁴ × 5² × 59¹ × 239¹
LCM(95580,95600) = 456872400