What is the Least Common Multiple of 89085 and 89100?

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 89085 and 89100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89085 and 89100, than apply into the LCM equation.

GCF(89085,89100) = 15
LCM(89085,89100) = ( 89085 × 89100) / 15
LCM(89085,89100) = 7937473500 / 15
LCM(89085,89100) = 529164900

Least Common Multiple (LCM) of 89085 and 89100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89085 and 89100. First we will calculate the prime factors of 89085 and 89100.

Prime Factorization of 89085

Prime Factorization of 89100

Now multiplying the highest exponent prime factors to calculate the LCM of 89085 and 89100.

LCM(89085,89100) = 3⁴ × 5² × 5939¹ × 2² × 11¹
LCM(89085,89100) = 529164900