What is the Least Common Multiple of 6404 and 6410?

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 6404 and 6410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6404 and 6410, than apply into the LCM equation.

GCF(6404,6410) = 2
LCM(6404,6410) = ( 6404 × 6410) / 2
LCM(6404,6410) = 41049640 / 2
LCM(6404,6410) = 20524820

Least Common Multiple (LCM) of 6404 and 6410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6404 and 6410. First we will calculate the prime factors of 6404 and 6410.

Prime Factorization of 6404

Prime Factorization of 6410

Now multiplying the highest exponent prime factors to calculate the LCM of 6404 and 6410.

LCM(6404,6410) = 2² × 1601¹ × 5¹ × 641¹
LCM(6404,6410) = 20524820