What is the Least Common Multiple of 92716 and 92734?

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 92716 and 92734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92716 and 92734, than apply into the LCM equation.

GCF(92716,92734) = 2
LCM(92716,92734) = ( 92716 × 92734) / 2
LCM(92716,92734) = 8597925544 / 2
LCM(92716,92734) = 4298962772

Least Common Multiple (LCM) of 92716 and 92734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92716 and 92734. First we will calculate the prime factors of 92716 and 92734.

Prime Factorization of 92716

Prime Factorization of 92734

Now multiplying the highest exponent prime factors to calculate the LCM of 92716 and 92734.

LCM(92716,92734) = 2² × 13¹ × 1783¹ × 199¹ × 233¹
LCM(92716,92734) = 4298962772