What is the Least Common Multiple of 86178 and 86183?

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 86178 and 86183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86178 and 86183, than apply into the LCM equation.

GCF(86178,86183) = 1
LCM(86178,86183) = ( 86178 × 86183) / 1
LCM(86178,86183) = 7427078574 / 1
LCM(86178,86183) = 7427078574

Least Common Multiple (LCM) of 86178 and 86183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86178 and 86183. First we will calculate the prime factors of 86178 and 86183.

Prime Factorization of 86178

Prime Factorization of 86183

Now multiplying the highest exponent prime factors to calculate the LCM of 86178 and 86183.

LCM(86178,86183) = 2¹ × 3¹ × 53¹ × 271¹ × 86183¹
LCM(86178,86183) = 7427078574