What is the Least Common Multiple of 89670 and 89684?

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 89670 and 89684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89670 and 89684, than apply into the LCM equation.

GCF(89670,89684) = 14
LCM(89670,89684) = ( 89670 × 89684) / 14
LCM(89670,89684) = 8041964280 / 14
LCM(89670,89684) = 574426020

Least Common Multiple (LCM) of 89670 and 89684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89670 and 89684. First we will calculate the prime factors of 89670 and 89684.

Prime Factorization of 89670

Prime Factorization of 89684

Now multiplying the highest exponent prime factors to calculate the LCM of 89670 and 89684.

LCM(89670,89684) = 2² × 3¹ × 5¹ × 7² × 61¹ × 3203¹
LCM(89670,89684) = 574426020