What is the Least Common Multiple of 85260 and 85272?

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 85260 and 85272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85260 and 85272, than apply into the LCM equation.

GCF(85260,85272) = 12
LCM(85260,85272) = ( 85260 × 85272) / 12
LCM(85260,85272) = 7270290720 / 12
LCM(85260,85272) = 605857560

Least Common Multiple (LCM) of 85260 and 85272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85260 and 85272. First we will calculate the prime factors of 85260 and 85272.

Prime Factorization of 85260

Prime Factorization of 85272

Now multiplying the highest exponent prime factors to calculate the LCM of 85260 and 85272.

LCM(85260,85272) = 2³ × 3¹ × 5¹ × 7² × 29¹ × 11¹ × 17¹ × 19¹
LCM(85260,85272) = 605857560