What is the Least Common Multiple of 90627 and 90639?

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 90627 and 90639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90627 and 90639, than apply into the LCM equation.

GCF(90627,90639) = 3
LCM(90627,90639) = ( 90627 × 90639) / 3
LCM(90627,90639) = 8214340653 / 3
LCM(90627,90639) = 2738113551

Least Common Multiple (LCM) of 90627 and 90639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90627 and 90639. First we will calculate the prime factors of 90627 and 90639.

Prime Factorization of 90627

Prime Factorization of 90639

Now multiplying the highest exponent prime factors to calculate the LCM of 90627 and 90639.

LCM(90627,90639) = 3⁵ × 17¹ × 1777¹ × 373¹
LCM(90627,90639) = 2738113551