What is the Least Common Multiple of 69048 and 69057?

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 69048 and 69057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69048 and 69057, than apply into the LCM equation.

GCF(69048,69057) = 9
LCM(69048,69057) = ( 69048 × 69057) / 9
LCM(69048,69057) = 4768247736 / 9
LCM(69048,69057) = 529805304

Least Common Multiple (LCM) of 69048 and 69057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69048 and 69057. First we will calculate the prime factors of 69048 and 69057.

Prime Factorization of 69048

Prime Factorization of 69057

Now multiplying the highest exponent prime factors to calculate the LCM of 69048 and 69057.

LCM(69048,69057) = 2³ × 3² × 7¹ × 137¹ × 7673¹
LCM(69048,69057) = 529805304