What is the Least Common Multiple of 83736 and 83752?

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 83736 and 83752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83736 and 83752, than apply into the LCM equation.

GCF(83736,83752) = 8
LCM(83736,83752) = ( 83736 × 83752) / 8
LCM(83736,83752) = 7013057472 / 8
LCM(83736,83752) = 876632184

Least Common Multiple (LCM) of 83736 and 83752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83736 and 83752. First we will calculate the prime factors of 83736 and 83752.

Prime Factorization of 83736

Prime Factorization of 83752

Now multiplying the highest exponent prime factors to calculate the LCM of 83736 and 83752.

LCM(83736,83752) = 2³ × 3² × 1163¹ × 19² × 29¹
LCM(83736,83752) = 876632184