What is the Least Common Multiple of 86121 and 86138?

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 86121 and 86138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86121 and 86138, than apply into the LCM equation.

GCF(86121,86138) = 1
LCM(86121,86138) = ( 86121 × 86138) / 1
LCM(86121,86138) = 7418290698 / 1
LCM(86121,86138) = 7418290698

Least Common Multiple (LCM) of 86121 and 86138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86121 and 86138. First we will calculate the prime factors of 86121 and 86138.

Prime Factorization of 86121

Prime Factorization of 86138

Now multiplying the highest exponent prime factors to calculate the LCM of 86121 and 86138.

LCM(86121,86138) = 3² × 7¹ × 1367¹ × 2¹ × 13¹ × 3313¹
LCM(86121,86138) = 7418290698