What is the Least Common Multiple of 81600 and 81612?

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 81600 and 81612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81600 and 81612, than apply into the LCM equation.

GCF(81600,81612) = 12
LCM(81600,81612) = ( 81600 × 81612) / 12
LCM(81600,81612) = 6659539200 / 12
LCM(81600,81612) = 554961600

Least Common Multiple (LCM) of 81600 and 81612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81600 and 81612. First we will calculate the prime factors of 81600 and 81612.

Prime Factorization of 81600

Prime Factorization of 81612

Now multiplying the highest exponent prime factors to calculate the LCM of 81600 and 81612.

LCM(81600,81612) = 2⁶ × 3² × 5² × 17¹ × 2267¹
LCM(81600,81612) = 554961600