What is the Least Common Multiple of 86154 and 86174?

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 86154 and 86174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86154 and 86174, than apply into the LCM equation.

GCF(86154,86174) = 2
LCM(86154,86174) = ( 86154 × 86174) / 2
LCM(86154,86174) = 7424234796 / 2
LCM(86154,86174) = 3712117398

Least Common Multiple (LCM) of 86154 and 86174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86154 and 86174. First we will calculate the prime factors of 86154 and 86174.

Prime Factorization of 86154

Prime Factorization of 86174

Now multiplying the highest exponent prime factors to calculate the LCM of 86154 and 86174.

LCM(86154,86174) = 2¹ × 3¹ × 83¹ × 173¹ × 11¹ × 3917¹
LCM(86154,86174) = 3712117398