What is the Least Common Multiple of 90734 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 90734 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 90734 and 90746, than apply into the LCM equation.

GCF(90734,90746) = 2
LCM(90734,90746) = ( 90734 × 90746) / 2
LCM(90734,90746) = 8233747564 / 2
LCM(90734,90746) = 4116873782

Least Common Multiple (LCM) of 90734 and 90746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90734 and 90746. First we will calculate the prime factors of 90734 and 90746.

Prime Factorization of 90734

Prime Factorization of 90746

Now multiplying the highest exponent prime factors to calculate the LCM of 90734 and 90746.

LCM(90734,90746) = 2¹ × 7¹ × 6481¹ × 17² × 157¹
LCM(90734,90746) = 4116873782