What is the Least Common Multiple of 83734 and 83748?

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 83734 and 83748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83734 and 83748, than apply into the LCM equation.

GCF(83734,83748) = 14
LCM(83734,83748) = ( 83734 × 83748) / 14
LCM(83734,83748) = 7012555032 / 14
LCM(83734,83748) = 500896788

Least Common Multiple (LCM) of 83734 and 83748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83734 and 83748. First we will calculate the prime factors of 83734 and 83748.

Prime Factorization of 83734

Prime Factorization of 83748

Now multiplying the highest exponent prime factors to calculate the LCM of 83734 and 83748.

LCM(83734,83748) = 2² × 7¹ × 5981¹ × 3¹ × 997¹
LCM(83734,83748) = 500896788