What is the Least Common Multiple of 90780 and 90794?

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 90780 and 90794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90780 and 90794, than apply into the LCM equation.

GCF(90780,90794) = 2
LCM(90780,90794) = ( 90780 × 90794) / 2
LCM(90780,90794) = 8242279320 / 2
LCM(90780,90794) = 4121139660

Least Common Multiple (LCM) of 90780 and 90794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90780 and 90794. First we will calculate the prime factors of 90780 and 90794.

Prime Factorization of 90780

Prime Factorization of 90794

Now multiplying the highest exponent prime factors to calculate the LCM of 90780 and 90794.

LCM(90780,90794) = 2² × 3¹ × 5¹ × 17¹ × 89¹ × 11¹ × 4127¹
LCM(90780,90794) = 4121139660