What is the Least Common Multiple of 86108 and 86119?

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 86108 and 86119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86108 and 86119, than apply into the LCM equation.

GCF(86108,86119) = 11
LCM(86108,86119) = ( 86108 × 86119) / 11
LCM(86108,86119) = 7415534852 / 11
LCM(86108,86119) = 674139532

Least Common Multiple (LCM) of 86108 and 86119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86108 and 86119. First we will calculate the prime factors of 86108 and 86119.

Prime Factorization of 86108

Prime Factorization of 86119

Now multiplying the highest exponent prime factors to calculate the LCM of 86108 and 86119.

LCM(86108,86119) = 2² × 11¹ × 19¹ × 103¹ × 7829¹
LCM(86108,86119) = 674139532