What is the Least Common Multiple of 85264 and 85277?

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 85264 and 85277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85264 and 85277, than apply into the LCM equation.

GCF(85264,85277) = 1
LCM(85264,85277) = ( 85264 × 85277) / 1
LCM(85264,85277) = 7271058128 / 1
LCM(85264,85277) = 7271058128

Least Common Multiple (LCM) of 85264 and 85277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85264 and 85277. First we will calculate the prime factors of 85264 and 85277.

Prime Factorization of 85264

Prime Factorization of 85277

Now multiplying the highest exponent prime factors to calculate the LCM of 85264 and 85277.

LCM(85264,85277) = 2⁴ × 73² × 53¹ × 1609¹
LCM(85264,85277) = 7271058128