What is the Least Common Multiple of 89964 and 89975?

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 89964 and 89975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89964 and 89975, than apply into the LCM equation.

GCF(89964,89975) = 1
LCM(89964,89975) = ( 89964 × 89975) / 1
LCM(89964,89975) = 8094510900 / 1
LCM(89964,89975) = 8094510900

Least Common Multiple (LCM) of 89964 and 89975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89964 and 89975. First we will calculate the prime factors of 89964 and 89975.

Prime Factorization of 89964

Prime Factorization of 89975

Now multiplying the highest exponent prime factors to calculate the LCM of 89964 and 89975.

LCM(89964,89975) = 2² × 3³ × 7² × 17¹ × 5² × 59¹ × 61¹
LCM(89964,89975) = 8094510900