What is the Least Common Multiple of 85440 and 85460?

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 85440 and 85460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85440 and 85460, than apply into the LCM equation.

GCF(85440,85460) = 20
LCM(85440,85460) = ( 85440 × 85460) / 20
LCM(85440,85460) = 7301702400 / 20
LCM(85440,85460) = 365085120

Least Common Multiple (LCM) of 85440 and 85460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85440 and 85460. First we will calculate the prime factors of 85440 and 85460.

Prime Factorization of 85440

Prime Factorization of 85460

Now multiplying the highest exponent prime factors to calculate the LCM of 85440 and 85460.

LCM(85440,85460) = 2⁶ × 3¹ × 5¹ × 89¹ × 4273¹
LCM(85440,85460) = 365085120