What is the Least Common Multiple of 90687 and 90696?

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 90687 and 90696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90687 and 90696, than apply into the LCM equation.

GCF(90687,90696) = 3
LCM(90687,90696) = ( 90687 × 90696) / 3
LCM(90687,90696) = 8224948152 / 3
LCM(90687,90696) = 2741649384

Least Common Multiple (LCM) of 90687 and 90696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90687 and 90696. First we will calculate the prime factors of 90687 and 90696.

Prime Factorization of 90687

Prime Factorization of 90696

Now multiplying the highest exponent prime factors to calculate the LCM of 90687 and 90696.

LCM(90687,90696) = 3¹ × 19¹ × 37¹ × 43¹ × 2³ × 3779¹
LCM(90687,90696) = 2741649384