What is the Least Common Multiple of 64371 and 64377?

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 64371 and 64377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64371 and 64377, than apply into the LCM equation.

GCF(64371,64377) = 3
LCM(64371,64377) = ( 64371 × 64377) / 3
LCM(64371,64377) = 4144011867 / 3
LCM(64371,64377) = 1381337289

Least Common Multiple (LCM) of 64371 and 64377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64371 and 64377. First we will calculate the prime factors of 64371 and 64377.

Prime Factorization of 64371

Prime Factorization of 64377

Now multiplying the highest exponent prime factors to calculate the LCM of 64371 and 64377.

LCM(64371,64377) = 3² × 43¹ × 499¹ × 23¹ × 311¹
LCM(64371,64377) = 1381337289