What is the Least Common Multiple of 3408 and 3413?

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 3408 and 3413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3408 and 3413, than apply into the LCM equation.

GCF(3408,3413) = 1
LCM(3408,3413) = ( 3408 × 3413) / 1
LCM(3408,3413) = 11631504 / 1
LCM(3408,3413) = 11631504

Least Common Multiple (LCM) of 3408 and 3413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3408 and 3413. First we will calculate the prime factors of 3408 and 3413.

Prime Factorization of 3408

Prime Factorization of 3413

Now multiplying the highest exponent prime factors to calculate the LCM of 3408 and 3413.

LCM(3408,3413) = 2⁴ × 3¹ × 71¹ × 3413¹
LCM(3408,3413) = 11631504