What is the Least Common Multiple of 3408 and 3426?

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 3408 and 3426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3408 and 3426, than apply into the LCM equation.

GCF(3408,3426) = 6
LCM(3408,3426) = ( 3408 × 3426) / 6
LCM(3408,3426) = 11675808 / 6
LCM(3408,3426) = 1945968

Least Common Multiple (LCM) of 3408 and 3426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3408 and 3426. First we will calculate the prime factors of 3408 and 3426.

Prime Factorization of 3408

Prime Factorization of 3426

Now multiplying the highest exponent prime factors to calculate the LCM of 3408 and 3426.

LCM(3408,3426) = 2⁴ × 3¹ × 71¹ × 571¹
LCM(3408,3426) = 1945968