What is the Least Common Multiple of 86260 and 86279?

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 86260 and 86279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86260 and 86279, than apply into the LCM equation.

GCF(86260,86279) = 19
LCM(86260,86279) = ( 86260 × 86279) / 19
LCM(86260,86279) = 7442426540 / 19
LCM(86260,86279) = 391706660

Least Common Multiple (LCM) of 86260 and 86279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86260 and 86279. First we will calculate the prime factors of 86260 and 86279.

Prime Factorization of 86260

Prime Factorization of 86279

Now multiplying the highest exponent prime factors to calculate the LCM of 86260 and 86279.

LCM(86260,86279) = 2² × 5¹ × 19² × 227¹ × 239¹
LCM(86260,86279) = 391706660