What is the Least Common Multiple of 6474 and 6478?

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 6474 and 6478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6474 and 6478, than apply into the LCM equation.

GCF(6474,6478) = 2
LCM(6474,6478) = ( 6474 × 6478) / 2
LCM(6474,6478) = 41938572 / 2
LCM(6474,6478) = 20969286

Least Common Multiple (LCM) of 6474 and 6478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6474 and 6478. First we will calculate the prime factors of 6474 and 6478.

Prime Factorization of 6474

Prime Factorization of 6478

Now multiplying the highest exponent prime factors to calculate the LCM of 6474 and 6478.

LCM(6474,6478) = 2¹ × 3¹ × 13¹ × 83¹ × 41¹ × 79¹
LCM(6474,6478) = 20969286