What is the Least Common Multiple of 85544 and 85564?

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 85564 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 85564, than apply into the LCM equation.

GCF(85544,85564) = 4
LCM(85544,85564) = ( 85544 × 85564) / 4
LCM(85544,85564) = 7319486816 / 4
LCM(85544,85564) = 1829871704

Least Common Multiple (LCM) of 85544 and 85564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85544 and 85564. First we will calculate the prime factors of 85544 and 85564.

Prime Factorization of 85544

Prime Factorization of 85564

Now multiplying the highest exponent prime factors to calculate the LCM of 85544 and 85564.

LCM(85544,85564) = 2³ × 17² × 37¹ × 21391¹
LCM(85544,85564) = 1829871704