What is the Least Common Multiple of 6364 and 6376?

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 6364 and 6376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6364 and 6376, than apply into the LCM equation.

GCF(6364,6376) = 4
LCM(6364,6376) = ( 6364 × 6376) / 4
LCM(6364,6376) = 40576864 / 4
LCM(6364,6376) = 10144216

Least Common Multiple (LCM) of 6364 and 6376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6364 and 6376. First we will calculate the prime factors of 6364 and 6376.

Prime Factorization of 6364

Prime Factorization of 6376

Now multiplying the highest exponent prime factors to calculate the LCM of 6364 and 6376.

LCM(6364,6376) = 2³ × 37¹ × 43¹ × 797¹
LCM(6364,6376) = 10144216