What is the Least Common Multiple of 85120 and 85135?

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 85120 and 85135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85120 and 85135, than apply into the LCM equation.

GCF(85120,85135) = 5
LCM(85120,85135) = ( 85120 × 85135) / 5
LCM(85120,85135) = 7246691200 / 5
LCM(85120,85135) = 1449338240

Least Common Multiple (LCM) of 85120 and 85135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85120 and 85135. First we will calculate the prime factors of 85120 and 85135.

Prime Factorization of 85120

Prime Factorization of 85135

Now multiplying the highest exponent prime factors to calculate the LCM of 85120 and 85135.

LCM(85120,85135) = 2⁷ × 5¹ × 7¹ × 19¹ × 17027¹
LCM(85120,85135) = 1449338240