What is the Least Common Multiple of 6475 and 6493?

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 6475 and 6493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6475 and 6493, than apply into the LCM equation.

GCF(6475,6493) = 1
LCM(6475,6493) = ( 6475 × 6493) / 1
LCM(6475,6493) = 42042175 / 1
LCM(6475,6493) = 42042175

Least Common Multiple (LCM) of 6475 and 6493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6475 and 6493. First we will calculate the prime factors of 6475 and 6493.

Prime Factorization of 6475

Prime Factorization of 6493

Now multiplying the highest exponent prime factors to calculate the LCM of 6475 and 6493.

LCM(6475,6493) = 5² × 7¹ × 37¹ × 43¹ × 151¹
LCM(6475,6493) = 42042175