What is the Least Common Multiple of 95600 and 95616?

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 95600 and 95616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95600 and 95616, than apply into the LCM equation.

GCF(95600,95616) = 16
LCM(95600,95616) = ( 95600 × 95616) / 16
LCM(95600,95616) = 9140889600 / 16
LCM(95600,95616) = 571305600

Least Common Multiple (LCM) of 95600 and 95616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95600 and 95616. First we will calculate the prime factors of 95600 and 95616.

Prime Factorization of 95600

Prime Factorization of 95616

Now multiplying the highest exponent prime factors to calculate the LCM of 95600 and 95616.

LCM(95600,95616) = 2⁷ × 5² × 239¹ × 3² × 83¹
LCM(95600,95616) = 571305600