What is the Least Common Multiple of 3440 and 3446?

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 3440 and 3446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3440 and 3446, than apply into the LCM equation.

GCF(3440,3446) = 2
LCM(3440,3446) = ( 3440 × 3446) / 2
LCM(3440,3446) = 11854240 / 2
LCM(3440,3446) = 5927120

Least Common Multiple (LCM) of 3440 and 3446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3440 and 3446. First we will calculate the prime factors of 3440 and 3446.

Prime Factorization of 3440

Prime Factorization of 3446

Now multiplying the highest exponent prime factors to calculate the LCM of 3440 and 3446.

LCM(3440,3446) = 2⁴ × 5¹ × 43¹ × 1723¹
LCM(3440,3446) = 5927120