What is the Least Common Multiple of 6456 and 6460?

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 6456 and 6460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6456 and 6460, than apply into the LCM equation.

GCF(6456,6460) = 4
LCM(6456,6460) = ( 6456 × 6460) / 4
LCM(6456,6460) = 41705760 / 4
LCM(6456,6460) = 10426440

Least Common Multiple (LCM) of 6456 and 6460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6456 and 6460. First we will calculate the prime factors of 6456 and 6460.

Prime Factorization of 6456

Prime Factorization of 6460

Now multiplying the highest exponent prime factors to calculate the LCM of 6456 and 6460.

LCM(6456,6460) = 2³ × 3¹ × 269¹ × 5¹ × 17¹ × 19¹
LCM(6456,6460) = 10426440