What is the Least Common Multiple of 3438 and 3456?

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 3438 and 3456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3438 and 3456, than apply into the LCM equation.

GCF(3438,3456) = 18
LCM(3438,3456) = ( 3438 × 3456) / 18
LCM(3438,3456) = 11881728 / 18
LCM(3438,3456) = 660096

Least Common Multiple (LCM) of 3438 and 3456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3438 and 3456. First we will calculate the prime factors of 3438 and 3456.

Prime Factorization of 3438

Prime Factorization of 3456

Now multiplying the highest exponent prime factors to calculate the LCM of 3438 and 3456.

LCM(3438,3456) = 2⁷ × 3³ × 191¹
LCM(3438,3456) = 660096