What is the Least Common Multiple of 86428 and 86442?

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 86428 and 86442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86428 and 86442, than apply into the LCM equation.

GCF(86428,86442) = 2
LCM(86428,86442) = ( 86428 × 86442) / 2
LCM(86428,86442) = 7471009176 / 2
LCM(86428,86442) = 3735504588

Least Common Multiple (LCM) of 86428 and 86442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86428 and 86442. First we will calculate the prime factors of 86428 and 86442.

Prime Factorization of 86428

Prime Factorization of 86442

Now multiplying the highest exponent prime factors to calculate the LCM of 86428 and 86442.

LCM(86428,86442) = 2² × 17¹ × 31¹ × 41¹ × 3¹ × 14407¹
LCM(86428,86442) = 3735504588