What is the Least Common Multiple of 3402 and 3409?

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 3402 and 3409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3402 and 3409, than apply into the LCM equation.

GCF(3402,3409) = 7
LCM(3402,3409) = ( 3402 × 3409) / 7
LCM(3402,3409) = 11597418 / 7
LCM(3402,3409) = 1656774

Least Common Multiple (LCM) of 3402 and 3409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3402 and 3409. First we will calculate the prime factors of 3402 and 3409.

Prime Factorization of 3402

Prime Factorization of 3409

Now multiplying the highest exponent prime factors to calculate the LCM of 3402 and 3409.

LCM(3402,3409) = 2¹ × 3⁵ × 7¹ × 487¹
LCM(3402,3409) = 1656774