What is the Least Common Multiple of 88650 and 88668?

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 88650 and 88668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88650 and 88668, than apply into the LCM equation.

GCF(88650,88668) = 18
LCM(88650,88668) = ( 88650 × 88668) / 18
LCM(88650,88668) = 7860418200 / 18
LCM(88650,88668) = 436689900

Least Common Multiple (LCM) of 88650 and 88668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88650 and 88668. First we will calculate the prime factors of 88650 and 88668.

Prime Factorization of 88650

Prime Factorization of 88668

Now multiplying the highest exponent prime factors to calculate the LCM of 88650 and 88668.

LCM(88650,88668) = 2² × 3³ × 5² × 197¹ × 821¹
LCM(88650,88668) = 436689900