What is the Least Common Multiple of 83156 and 83176?

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 83176 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 83176, than apply into the LCM equation.

GCF(83156,83176) = 4
LCM(83156,83176) = ( 83156 × 83176) / 4
LCM(83156,83176) = 6916583456 / 4
LCM(83156,83176) = 1729145864

Least Common Multiple (LCM) of 83156 and 83176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83156 and 83176. First we will calculate the prime factors of 83156 and 83176.

Prime Factorization of 83156

Prime Factorization of 83176

Now multiplying the highest exponent prime factors to calculate the LCM of 83156 and 83176.

LCM(83156,83176) = 2³ × 20789¹ × 37¹ × 281¹
LCM(83156,83176) = 1729145864