What is the Least Common Multiple of 85544 and 85560?

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 85544 and 85560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85544 and 85560, than apply into the LCM equation.

GCF(85544,85560) = 8
LCM(85544,85560) = ( 85544 × 85560) / 8
LCM(85544,85560) = 7319144640 / 8
LCM(85544,85560) = 914893080

Least Common Multiple (LCM) of 85544 and 85560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85544 and 85560. First we will calculate the prime factors of 85544 and 85560.

Prime Factorization of 85544

Prime Factorization of 85560

Now multiplying the highest exponent prime factors to calculate the LCM of 85544 and 85560.

LCM(85544,85560) = 2³ × 17² × 37¹ × 3¹ × 5¹ × 23¹ × 31¹
LCM(85544,85560) = 914893080