What is the Least Common Multiple of 3444 and 3453?

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 3444 and 3453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3444 and 3453, than apply into the LCM equation.

GCF(3444,3453) = 3
LCM(3444,3453) = ( 3444 × 3453) / 3
LCM(3444,3453) = 11892132 / 3
LCM(3444,3453) = 3964044

Least Common Multiple (LCM) of 3444 and 3453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3444 and 3453. First we will calculate the prime factors of 3444 and 3453.

Prime Factorization of 3444

Prime Factorization of 3453

Now multiplying the highest exponent prime factors to calculate the LCM of 3444 and 3453.

LCM(3444,3453) = 2² × 3¹ × 7¹ × 41¹ × 1151¹
LCM(3444,3453) = 3964044