What is the Least Common Multiple of 90739 and 90746?

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 90739 and 90746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90739 and 90746, than apply into the LCM equation.

GCF(90739,90746) = 1
LCM(90739,90746) = ( 90739 × 90746) / 1
LCM(90739,90746) = 8234201294 / 1
LCM(90739,90746) = 8234201294

Least Common Multiple (LCM) of 90739 and 90746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90739 and 90746. First we will calculate the prime factors of 90739 and 90746.

Prime Factorization of 90739

Prime Factorization of 90746

Now multiplying the highest exponent prime factors to calculate the LCM of 90739 and 90746.

LCM(90739,90746) = 11¹ × 73¹ × 113¹ × 2¹ × 17² × 157¹
LCM(90739,90746) = 8234201294