What is the Least Common Multiple of 65734 and 65746?

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 65734 and 65746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65734 and 65746, than apply into the LCM equation.

GCF(65734,65746) = 2
LCM(65734,65746) = ( 65734 × 65746) / 2
LCM(65734,65746) = 4321747564 / 2
LCM(65734,65746) = 2160873782

Least Common Multiple (LCM) of 65734 and 65746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65734 and 65746. First we will calculate the prime factors of 65734 and 65746.

Prime Factorization of 65734

Prime Factorization of 65746

Now multiplying the highest exponent prime factors to calculate the LCM of 65734 and 65746.

LCM(65734,65746) = 2¹ × 23¹ × 1429¹ × 71¹ × 463¹
LCM(65734,65746) = 2160873782