What is the Least Common Multiple of 3440 and 3452?

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 3452 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 3452, than apply into the LCM equation.

GCF(3440,3452) = 4
LCM(3440,3452) = ( 3440 × 3452) / 4
LCM(3440,3452) = 11874880 / 4
LCM(3440,3452) = 2968720

Least Common Multiple (LCM) of 3440 and 3452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3440 and 3452. First we will calculate the prime factors of 3440 and 3452.

Prime Factorization of 3440

Prime Factorization of 3452

Now multiplying the highest exponent prime factors to calculate the LCM of 3440 and 3452.

LCM(3440,3452) = 2⁴ × 5¹ × 43¹ × 863¹
LCM(3440,3452) = 2968720