What is the Least Common Multiple of 86110 and 86118?

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 86110 and 86118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86110 and 86118, than apply into the LCM equation.

GCF(86110,86118) = 2
LCM(86110,86118) = ( 86110 × 86118) / 2
LCM(86110,86118) = 7415620980 / 2
LCM(86110,86118) = 3707810490

Least Common Multiple (LCM) of 86110 and 86118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86110 and 86118. First we will calculate the prime factors of 86110 and 86118.

Prime Factorization of 86110

Prime Factorization of 86118

Now multiplying the highest exponent prime factors to calculate the LCM of 86110 and 86118.

LCM(86110,86118) = 2¹ × 5¹ × 79¹ × 109¹ × 3¹ × 31¹ × 463¹
LCM(86110,86118) = 3707810490