What is the Least Common Multiple of 90594 and 90608?

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 90594 and 90608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90594 and 90608, than apply into the LCM equation.

GCF(90594,90608) = 14
LCM(90594,90608) = ( 90594 × 90608) / 14
LCM(90594,90608) = 8208541152 / 14
LCM(90594,90608) = 586324368

Least Common Multiple (LCM) of 90594 and 90608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90594 and 90608. First we will calculate the prime factors of 90594 and 90608.

Prime Factorization of 90594

Prime Factorization of 90608

Now multiplying the highest exponent prime factors to calculate the LCM of 90594 and 90608.

LCM(90594,90608) = 2⁴ × 3² × 7¹ × 719¹ × 809¹
LCM(90594,90608) = 586324368