What is the Least Common Multiple of 83156 and 83172?

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 83156 and 83172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83156 and 83172, than apply into the LCM equation.

GCF(83156,83172) = 4
LCM(83156,83172) = ( 83156 × 83172) / 4
LCM(83156,83172) = 6916250832 / 4
LCM(83156,83172) = 1729062708

Least Common Multiple (LCM) of 83156 and 83172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83156 and 83172. First we will calculate the prime factors of 83156 and 83172.

Prime Factorization of 83156

Prime Factorization of 83172

Now multiplying the highest exponent prime factors to calculate the LCM of 83156 and 83172.

LCM(83156,83172) = 2² × 20789¹ × 3¹ × 29¹ × 239¹
LCM(83156,83172) = 1729062708