What is the Least Common Multiple of 23156 and 23172?

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 23156 and 23172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23156 and 23172, than apply into the LCM equation.

GCF(23156,23172) = 4
LCM(23156,23172) = ( 23156 × 23172) / 4
LCM(23156,23172) = 536570832 / 4
LCM(23156,23172) = 134142708

Least Common Multiple (LCM) of 23156 and 23172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23156 and 23172. First we will calculate the prime factors of 23156 and 23172.

Prime Factorization of 23156

Prime Factorization of 23172

Now multiplying the highest exponent prime factors to calculate the LCM of 23156 and 23172.

LCM(23156,23172) = 2² × 7¹ × 827¹ × 3¹ × 1931¹
LCM(23156,23172) = 134142708