What is the Least Common Multiple of 84640 and 84645?

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 84640 and 84645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84640 and 84645, than apply into the LCM equation.

GCF(84640,84645) = 5
LCM(84640,84645) = ( 84640 × 84645) / 5
LCM(84640,84645) = 7164352800 / 5
LCM(84640,84645) = 1432870560

Least Common Multiple (LCM) of 84640 and 84645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84640 and 84645. First we will calculate the prime factors of 84640 and 84645.

Prime Factorization of 84640

Prime Factorization of 84645

Now multiplying the highest exponent prime factors to calculate the LCM of 84640 and 84645.

LCM(84640,84645) = 2⁵ × 5¹ × 23² × 3⁴ × 11¹ × 19¹
LCM(84640,84645) = 1432870560