What is the Least Common Multiple of 81600 and 81604?

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 81604 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 81604, than apply into the LCM equation.

GCF(81600,81604) = 4
LCM(81600,81604) = ( 81600 × 81604) / 4
LCM(81600,81604) = 6658886400 / 4
LCM(81600,81604) = 1664721600

Least Common Multiple (LCM) of 81600 and 81604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81600 and 81604. First we will calculate the prime factors of 81600 and 81604.

Prime Factorization of 81600

Prime Factorization of 81604

Now multiplying the highest exponent prime factors to calculate the LCM of 81600 and 81604.

LCM(81600,81604) = 2⁶ × 3¹ × 5² × 17¹ × 23¹ × 887¹
LCM(81600,81604) = 1664721600