What is the Least Common Multiple of 94650 and 94667?

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 94650 and 94667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94650 and 94667, than apply into the LCM equation.

GCF(94650,94667) = 1
LCM(94650,94667) = ( 94650 × 94667) / 1
LCM(94650,94667) = 8960231550 / 1
LCM(94650,94667) = 8960231550

Least Common Multiple (LCM) of 94650 and 94667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94650 and 94667. First we will calculate the prime factors of 94650 and 94667.

Prime Factorization of 94650

Prime Factorization of 94667

Now multiplying the highest exponent prime factors to calculate the LCM of 94650 and 94667.

LCM(94650,94667) = 2¹ × 3¹ × 5² × 631¹ × 137¹ × 691¹
LCM(94650,94667) = 8960231550