What is the Least Common Multiple of 6474 and 6481?

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 6481 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 6481, than apply into the LCM equation.

GCF(6474,6481) = 1
LCM(6474,6481) = ( 6474 × 6481) / 1
LCM(6474,6481) = 41957994 / 1
LCM(6474,6481) = 41957994

Least Common Multiple (LCM) of 6474 and 6481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6474 and 6481. First we will calculate the prime factors of 6474 and 6481.

Prime Factorization of 6474

Prime Factorization of 6481

Now multiplying the highest exponent prime factors to calculate the LCM of 6474 and 6481.

LCM(6474,6481) = 2¹ × 3¹ × 13¹ × 83¹ × 6481¹
LCM(6474,6481) = 41957994