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What is the Least Common Multiple of 3413 and 3420?

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 (LCM) of 3413 and 3420 is 11672460.

LCM(3413,3420) = 11672460

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Least Common Multiple of 3413 and 3420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3413 and 3420, than apply into the LCM equation.

GCF(3413,3420) = 1
LCM(3413,3420) = ( 3413 × 3420) / 1
LCM(3413,3420) = 11672460 / 1
LCM(3413,3420) = 11672460

Least Common Multiple (LCM) of 3413 and 3420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3413 and 3420. First we will calculate the prime factors of 3413 and 3420.

Prime Factorization of 3413

Prime factors of 3413 are 3413. Prime factorization of 3413 in exponential form is:

3413 = 34131

Prime Factorization of 3420

Prime factors of 3420 are 2, 3, 5, 19. Prime factorization of 3420 in exponential form is:

3420 = 22 × 32 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 3413 and 3420.

LCM(3413,3420) = 34131 × 22 × 32 × 51 × 191
LCM(3413,3420) = 11672460