What is the Least Common Multiple of 89964 and 89974?

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 89974 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 89974, than apply into the LCM equation.

GCF(89964,89974) = 2
LCM(89964,89974) = ( 89964 × 89974) / 2
LCM(89964,89974) = 8094420936 / 2
LCM(89964,89974) = 4047210468

Least Common Multiple (LCM) of 89964 and 89974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89964 and 89974. First we will calculate the prime factors of 89964 and 89974.

Prime Factorization of 89964

Prime Factorization of 89974

Now multiplying the highest exponent prime factors to calculate the LCM of 89964 and 89974.

LCM(89964,89974) = 2² × 3³ × 7² × 17¹ × 44987¹
LCM(89964,89974) = 4047210468