What is the Least Common Multiple of 86138 and 86147?

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 86138 and 86147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86138 and 86147, than apply into the LCM equation.

GCF(86138,86147) = 1
LCM(86138,86147) = ( 86138 × 86147) / 1
LCM(86138,86147) = 7420530286 / 1
LCM(86138,86147) = 7420530286

Least Common Multiple (LCM) of 86138 and 86147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86138 and 86147. First we will calculate the prime factors of 86138 and 86147.

Prime Factorization of 86138

Prime Factorization of 86147

Now multiplying the highest exponent prime factors to calculate the LCM of 86138 and 86147.

LCM(86138,86147) = 2¹ × 13¹ × 3313¹ × 277¹ × 311¹
LCM(86138,86147) = 7420530286