What is the Least Common Multiple of 85248 and 85257?

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 85248 and 85257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85248 and 85257, than apply into the LCM equation.

GCF(85248,85257) = 9
LCM(85248,85257) = ( 85248 × 85257) / 9
LCM(85248,85257) = 7267988736 / 9
LCM(85248,85257) = 807554304

Least Common Multiple (LCM) of 85248 and 85257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85248 and 85257. First we will calculate the prime factors of 85248 and 85257.

Prime Factorization of 85248

Prime Factorization of 85257

Now multiplying the highest exponent prime factors to calculate the LCM of 85248 and 85257.

LCM(85248,85257) = 2⁸ × 3² × 37¹ × 9473¹
LCM(85248,85257) = 807554304