What is the Least Common Multiple of 3420 and 3440?

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 3420 and 3440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3420 and 3440, than apply into the LCM equation.

GCF(3420,3440) = 20
LCM(3420,3440) = ( 3420 × 3440) / 20
LCM(3420,3440) = 11764800 / 20
LCM(3420,3440) = 588240

Least Common Multiple (LCM) of 3420 and 3440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3420 and 3440. First we will calculate the prime factors of 3420 and 3440.

Prime Factorization of 3420

Prime Factorization of 3440

Now multiplying the highest exponent prime factors to calculate the LCM of 3420 and 3440.

LCM(3420,3440) = 2⁴ × 3² × 5¹ × 19¹ × 43¹
LCM(3420,3440) = 588240