What is the Least Common Multiple of 4344 and 4350?

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 4350 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 4350, than apply into the LCM equation.

GCF(4344,4350) = 6
LCM(4344,4350) = ( 4344 × 4350) / 6
LCM(4344,4350) = 18896400 / 6
LCM(4344,4350) = 3149400

Least Common Multiple (LCM) of 4344 and 4350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4344 and 4350. First we will calculate the prime factors of 4344 and 4350.

Prime Factorization of 4344

Prime Factorization of 4350

Now multiplying the highest exponent prime factors to calculate the LCM of 4344 and 4350.

LCM(4344,4350) = 2³ × 3¹ × 181¹ × 5² × 29¹
LCM(4344,4350) = 3149400