What is the Least Common Multiple of 89700 and 89720?

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 89720 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 89720, than apply into the LCM equation.

GCF(89700,89720) = 20
LCM(89700,89720) = ( 89700 × 89720) / 20
LCM(89700,89720) = 8047884000 / 20
LCM(89700,89720) = 402394200

Least Common Multiple (LCM) of 89700 and 89720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89700 and 89720. First we will calculate the prime factors of 89700 and 89720.

Prime Factorization of 89700

Prime Factorization of 89720

Now multiplying the highest exponent prime factors to calculate the LCM of 89700 and 89720.

LCM(89700,89720) = 2³ × 3¹ × 5² × 13¹ × 23¹ × 2243¹
LCM(89700,89720) = 402394200