What is the Least Common Multiple of 81568 and 81574?

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 81568 and 81574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81568 and 81574, than apply into the LCM equation.

GCF(81568,81574) = 2
LCM(81568,81574) = ( 81568 × 81574) / 2
LCM(81568,81574) = 6653828032 / 2
LCM(81568,81574) = 3326914016

Least Common Multiple (LCM) of 81568 and 81574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81568 and 81574. First we will calculate the prime factors of 81568 and 81574.

Prime Factorization of 81568

Prime Factorization of 81574

Now multiplying the highest exponent prime factors to calculate the LCM of 81568 and 81574.

LCM(81568,81574) = 2⁵ × 2549¹ × 40787¹
LCM(81568,81574) = 3326914016