What is the Least Common Multiple of 3440 and 3455?

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 3455 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 3455, than apply into the LCM equation.

GCF(3440,3455) = 5
LCM(3440,3455) = ( 3440 × 3455) / 5
LCM(3440,3455) = 11885200 / 5
LCM(3440,3455) = 2377040

Least Common Multiple (LCM) of 3440 and 3455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3440 and 3455. First we will calculate the prime factors of 3440 and 3455.

Prime Factorization of 3440

Prime Factorization of 3455

Now multiplying the highest exponent prime factors to calculate the LCM of 3440 and 3455.

LCM(3440,3455) = 2⁴ × 5¹ × 43¹ × 691¹
LCM(3440,3455) = 2377040