What is the Least Common Multiple of 4377 and 4381?

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 4377 and 4381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4377 and 4381, than apply into the LCM equation.

GCF(4377,4381) = 1
LCM(4377,4381) = ( 4377 × 4381) / 1
LCM(4377,4381) = 19175637 / 1
LCM(4377,4381) = 19175637

Least Common Multiple (LCM) of 4377 and 4381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4377 and 4381. First we will calculate the prime factors of 4377 and 4381.

Prime Factorization of 4377

Prime Factorization of 4381

Now multiplying the highest exponent prime factors to calculate the LCM of 4377 and 4381.

LCM(4377,4381) = 3¹ × 1459¹ × 13¹ × 337¹
LCM(4377,4381) = 19175637