What is the Least Common Multiple of 90670 and 90684?

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 90670 and 90684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90670 and 90684, than apply into the LCM equation.

GCF(90670,90684) = 2
LCM(90670,90684) = ( 90670 × 90684) / 2
LCM(90670,90684) = 8222318280 / 2
LCM(90670,90684) = 4111159140

Least Common Multiple (LCM) of 90670 and 90684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90670 and 90684. First we will calculate the prime factors of 90670 and 90684.

Prime Factorization of 90670

Prime Factorization of 90684

Now multiplying the highest exponent prime factors to calculate the LCM of 90670 and 90684.

LCM(90670,90684) = 2² × 5¹ × 9067¹ × 3² × 11¹ × 229¹
LCM(90670,90684) = 4111159140