What is the Least Common Multiple of 81600 and 81619?

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 81619 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 81619, than apply into the LCM equation.

GCF(81600,81619) = 1
LCM(81600,81619) = ( 81600 × 81619) / 1
LCM(81600,81619) = 6660110400 / 1
LCM(81600,81619) = 6660110400

Least Common Multiple (LCM) of 81600 and 81619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81600 and 81619. First we will calculate the prime factors of 81600 and 81619.

Prime Factorization of 81600

Prime Factorization of 81619

Now multiplying the highest exponent prime factors to calculate the LCM of 81600 and 81619.

LCM(81600,81619) = 2⁶ × 3¹ × 5² × 17¹ × 81619¹
LCM(81600,81619) = 6660110400