GCF and LCM Calculator Logo

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 (LCM) of 6408 and 6417 is 4568904.

LCM(6408,6417) = 4568904

LCM Calculator and
and

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 factors of 6408 are 2, 3, 89. Prime factorization of 6408 in exponential form is:

6408 = 23 × 32 × 891

Prime Factorization of 6417

Prime factors of 6417 are 3, 23, 31. Prime factorization of 6417 in exponential form is:

6417 = 32 × 231 × 311

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