What is the Least Common Multiple of 86088 and 86108?

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 86088 and 86108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86088 and 86108, than apply into the LCM equation.

GCF(86088,86108) = 4
LCM(86088,86108) = ( 86088 × 86108) / 4
LCM(86088,86108) = 7412865504 / 4
LCM(86088,86108) = 1853216376

Least Common Multiple (LCM) of 86088 and 86108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86088 and 86108. First we will calculate the prime factors of 86088 and 86108.

Prime Factorization of 86088

Prime Factorization of 86108

Now multiplying the highest exponent prime factors to calculate the LCM of 86088 and 86108.

LCM(86088,86108) = 2³ × 3¹ × 17¹ × 211¹ × 11¹ × 19¹ × 103¹
LCM(86088,86108) = 1853216376