What is the Least Common Multiple of 89700 and 89709?

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 89700 and 89709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89700 and 89709, than apply into the LCM equation.

GCF(89700,89709) = 3
LCM(89700,89709) = ( 89700 × 89709) / 3
LCM(89700,89709) = 8046897300 / 3
LCM(89700,89709) = 2682299100

Least Common Multiple (LCM) of 89700 and 89709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89700 and 89709. First we will calculate the prime factors of 89700 and 89709.

Prime Factorization of 89700

Prime Factorization of 89709

Now multiplying the highest exponent prime factors to calculate the LCM of 89700 and 89709.

LCM(89700,89709) = 2² × 3¹ × 5² × 13¹ × 23¹ × 17¹ × 1759¹
LCM(89700,89709) = 2682299100