What is the Least Common Multiple of 6408 and 6417?

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 6408 and 6417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6408 and 6417, than apply into the LCM equation.

GCF(6408,6417) = 9
LCM(6408,6417) = ( 6408 × 6417) / 9
LCM(6408,6417) = 41120136 / 9
LCM(6408,6417) = 4568904

Least Common Multiple (LCM) of 6408 and 6417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6408 and 6417. First we will calculate the prime factors of 6408 and 6417.

Prime Factorization of 6408

Prime Factorization of 6417

Now multiplying the highest exponent prime factors to calculate the LCM of 6408 and 6417.

LCM(6408,6417) = 2³ × 3² × 89¹ × 23¹ × 31¹
LCM(6408,6417) = 4568904