What is the Least Common Multiple of 89734 and 89746?

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 89734 and 89746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89734 and 89746, than apply into the LCM equation.

GCF(89734,89746) = 2
LCM(89734,89746) = ( 89734 × 89746) / 2
LCM(89734,89746) = 8053267564 / 2
LCM(89734,89746) = 4026633782

Least Common Multiple (LCM) of 89734 and 89746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89734 and 89746. First we will calculate the prime factors of 89734 and 89746.

Prime Factorization of 89734

Prime Factorization of 89746

Now multiplying the highest exponent prime factors to calculate the LCM of 89734 and 89746.

LCM(89734,89746) = 2¹ × 44867¹ × 23¹ × 1951¹
LCM(89734,89746) = 4026633782