What is the Least Common Multiple of 86414 and 86428?

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 86414 and 86428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86414 and 86428, than apply into the LCM equation.

GCF(86414,86428) = 2
LCM(86414,86428) = ( 86414 × 86428) / 2
LCM(86414,86428) = 7468589192 / 2
LCM(86414,86428) = 3734294596

Least Common Multiple (LCM) of 86414 and 86428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86414 and 86428. First we will calculate the prime factors of 86414 and 86428.

Prime Factorization of 86414

Prime Factorization of 86428

Now multiplying the highest exponent prime factors to calculate the LCM of 86414 and 86428.

LCM(86414,86428) = 2² × 43207¹ × 17¹ × 31¹ × 41¹
LCM(86414,86428) = 3734294596