What is the Least Common Multiple of 4344 and 4351?

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 4344 and 4351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4344 and 4351, than apply into the LCM equation.

GCF(4344,4351) = 1
LCM(4344,4351) = ( 4344 × 4351) / 1
LCM(4344,4351) = 18900744 / 1
LCM(4344,4351) = 18900744

Least Common Multiple (LCM) of 4344 and 4351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4344 and 4351. First we will calculate the prime factors of 4344 and 4351.

Prime Factorization of 4344

Prime Factorization of 4351

Now multiplying the highest exponent prime factors to calculate the LCM of 4344 and 4351.

LCM(4344,4351) = 2³ × 3¹ × 181¹ × 19¹ × 229¹
LCM(4344,4351) = 18900744