What is the Least Common Multiple of 89950 and 89964?

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 89950 and 89964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89950 and 89964, than apply into the LCM equation.

GCF(89950,89964) = 14
LCM(89950,89964) = ( 89950 × 89964) / 14
LCM(89950,89964) = 8092261800 / 14
LCM(89950,89964) = 578018700

Least Common Multiple (LCM) of 89950 and 89964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89950 and 89964. First we will calculate the prime factors of 89950 and 89964.

Prime Factorization of 89950

Prime Factorization of 89964

Now multiplying the highest exponent prime factors to calculate the LCM of 89950 and 89964.

LCM(89950,89964) = 2² × 5² × 7² × 257¹ × 3³ × 17¹
LCM(89950,89964) = 578018700