What is the Least Common Multiple of 61650 and 61667?

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 61650 and 61667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61650 and 61667, than apply into the LCM equation.

GCF(61650,61667) = 1
LCM(61650,61667) = ( 61650 × 61667) / 1
LCM(61650,61667) = 3801770550 / 1
LCM(61650,61667) = 3801770550

Least Common Multiple (LCM) of 61650 and 61667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61650 and 61667. First we will calculate the prime factors of 61650 and 61667.

Prime Factorization of 61650

Prime Factorization of 61667

Now multiplying the highest exponent prime factors to calculate the LCM of 61650 and 61667.

LCM(61650,61667) = 2¹ × 3² × 5² × 137¹ × 61667¹
LCM(61650,61667) = 3801770550