What is the Least Common Multiple of 89964 and 89984?

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 89984 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 89984, than apply into the LCM equation.

GCF(89964,89984) = 4
LCM(89964,89984) = ( 89964 × 89984) / 4
LCM(89964,89984) = 8095320576 / 4
LCM(89964,89984) = 2023830144

Least Common Multiple (LCM) of 89964 and 89984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89964 and 89984. First we will calculate the prime factors of 89964 and 89984.

Prime Factorization of 89964

Prime Factorization of 89984

Now multiplying the highest exponent prime factors to calculate the LCM of 89964 and 89984.

LCM(89964,89984) = 2⁷ × 3³ × 7² × 17¹ × 19¹ × 37¹
LCM(89964,89984) = 2023830144