What is the Least Common Multiple of 86156 and 86172?

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 86156 and 86172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86156 and 86172, than apply into the LCM equation.

GCF(86156,86172) = 4
LCM(86156,86172) = ( 86156 × 86172) / 4
LCM(86156,86172) = 7424234832 / 4
LCM(86156,86172) = 1856058708

Least Common Multiple (LCM) of 86156 and 86172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86156 and 86172. First we will calculate the prime factors of 86156 and 86172.

Prime Factorization of 86156

Prime Factorization of 86172

Now multiplying the highest exponent prime factors to calculate the LCM of 86156 and 86172.

LCM(86156,86172) = 2² × 7¹ × 17¹ × 181¹ × 3¹ × 43¹ × 167¹
LCM(86156,86172) = 1856058708