What is the Least Common Multiple of 6477 and 6494?

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 6477 and 6494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6477 and 6494, than apply into the LCM equation.

GCF(6477,6494) = 17
LCM(6477,6494) = ( 6477 × 6494) / 17
LCM(6477,6494) = 42061638 / 17
LCM(6477,6494) = 2474214

Least Common Multiple (LCM) of 6477 and 6494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6477 and 6494. First we will calculate the prime factors of 6477 and 6494.

Prime Factorization of 6477

Prime Factorization of 6494

Now multiplying the highest exponent prime factors to calculate the LCM of 6477 and 6494.

LCM(6477,6494) = 3¹ × 17¹ × 127¹ × 2¹ × 191¹
LCM(6477,6494) = 2474214