What is the Least Common Multiple of 86142 and 86154?

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 86142 and 86154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86142 and 86154, than apply into the LCM equation.

GCF(86142,86154) = 6
LCM(86142,86154) = ( 86142 × 86154) / 6
LCM(86142,86154) = 7421477868 / 6
LCM(86142,86154) = 1236912978

Least Common Multiple (LCM) of 86142 and 86154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86142 and 86154. First we will calculate the prime factors of 86142 and 86154.

Prime Factorization of 86142

Prime Factorization of 86154

Now multiplying the highest exponent prime factors to calculate the LCM of 86142 and 86154.

LCM(86142,86154) = 2¹ × 3¹ × 7² × 293¹ × 83¹ × 173¹
LCM(86142,86154) = 1236912978