What is the Least Common Multiple of 89947 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 89947 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 89947 and 89964, than apply into the LCM equation.

GCF(89947,89964) = 17
LCM(89947,89964) = ( 89947 × 89964) / 17
LCM(89947,89964) = 8091991908 / 17
LCM(89947,89964) = 475999524

Least Common Multiple (LCM) of 89947 and 89964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89947 and 89964. First we will calculate the prime factors of 89947 and 89964.

Prime Factorization of 89947

Prime Factorization of 89964

Now multiplying the highest exponent prime factors to calculate the LCM of 89947 and 89964.

LCM(89947,89964) = 11¹ × 13¹ × 17¹ × 37¹ × 2² × 3³ × 7²
LCM(89947,89964) = 475999524