What is the Least Common Multiple of 86408 and 86423?

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 86408 and 86423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86408 and 86423, than apply into the LCM equation.

GCF(86408,86423) = 1
LCM(86408,86423) = ( 86408 × 86423) / 1
LCM(86408,86423) = 7467638584 / 1
LCM(86408,86423) = 7467638584

Least Common Multiple (LCM) of 86408 and 86423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86408 and 86423. First we will calculate the prime factors of 86408 and 86423.

Prime Factorization of 86408

Prime Factorization of 86423

Now multiplying the highest exponent prime factors to calculate the LCM of 86408 and 86423.

LCM(86408,86423) = 2³ × 7¹ × 1543¹ × 86423¹
LCM(86408,86423) = 7467638584