What is the Least Common Multiple of 3429 and 3444?

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 3429 and 3444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3429 and 3444, than apply into the LCM equation.

GCF(3429,3444) = 3
LCM(3429,3444) = ( 3429 × 3444) / 3
LCM(3429,3444) = 11809476 / 3
LCM(3429,3444) = 3936492

Least Common Multiple (LCM) of 3429 and 3444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3429 and 3444. First we will calculate the prime factors of 3429 and 3444.

Prime Factorization of 3429

Prime Factorization of 3444

Now multiplying the highest exponent prime factors to calculate the LCM of 3429 and 3444.

LCM(3429,3444) = 3³ × 127¹ × 2² × 7¹ × 41¹
LCM(3429,3444) = 3936492