What is the Least Common Multiple of 90789 and 90807?

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 90789 and 90807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90789 and 90807, than apply into the LCM equation.

GCF(90789,90807) = 3
LCM(90789,90807) = ( 90789 × 90807) / 3
LCM(90789,90807) = 8244276723 / 3
LCM(90789,90807) = 2748092241

Least Common Multiple (LCM) of 90789 and 90807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90789 and 90807. First we will calculate the prime factors of 90789 and 90807.

Prime Factorization of 90789

Prime Factorization of 90807

Now multiplying the highest exponent prime factors to calculate the LCM of 90789 and 90807.

LCM(90789,90807) = 3¹ × 53¹ × 571¹ × 30269¹
LCM(90789,90807) = 2748092241