What is the Least Common Multiple of 83716 and 83736?

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 83716 and 83736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83716 and 83736, than apply into the LCM equation.

GCF(83716,83736) = 4
LCM(83716,83736) = ( 83716 × 83736) / 4
LCM(83716,83736) = 7010042976 / 4
LCM(83716,83736) = 1752510744

Least Common Multiple (LCM) of 83716 and 83736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83716 and 83736. First we will calculate the prime factors of 83716 and 83736.

Prime Factorization of 83716

Prime Factorization of 83736

Now multiplying the highest exponent prime factors to calculate the LCM of 83716 and 83736.

LCM(83716,83736) = 2³ × 20929¹ × 3² × 1163¹
LCM(83716,83736) = 1752510744