What is the Least Common Multiple of 86060 and 86078?

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 86060 and 86078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86060 and 86078, than apply into the LCM equation.

GCF(86060,86078) = 2
LCM(86060,86078) = ( 86060 × 86078) / 2
LCM(86060,86078) = 7407872680 / 2
LCM(86060,86078) = 3703936340

Least Common Multiple (LCM) of 86060 and 86078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86060 and 86078. First we will calculate the prime factors of 86060 and 86078.

Prime Factorization of 86060

Prime Factorization of 86078

Now multiplying the highest exponent prime factors to calculate the LCM of 86060 and 86078.

LCM(86060,86078) = 2² × 5¹ × 13¹ × 331¹ × 193¹ × 223¹
LCM(86060,86078) = 3703936340