What is the Least Common Multiple of 86408 and 86417?

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 86417 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 86417, than apply into the LCM equation.

GCF(86408,86417) = 1
LCM(86408,86417) = ( 86408 × 86417) / 1
LCM(86408,86417) = 7467120136 / 1
LCM(86408,86417) = 7467120136

Least Common Multiple (LCM) of 86408 and 86417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86408 and 86417. First we will calculate the prime factors of 86408 and 86417.

Prime Factorization of 86408

Prime Factorization of 86417

Now multiplying the highest exponent prime factors to calculate the LCM of 86408 and 86417.

LCM(86408,86417) = 2³ × 7¹ × 1543¹ × 103¹ × 839¹
LCM(86408,86417) = 7467120136