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What is the Least Common Multiple of 3373 and 3384?

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 3373 and 3384 is 11414232.

LCM(3373,3384) = 11414232

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Least Common Multiple of 3373 and 3384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3373 and 3384, than apply into the LCM equation.

GCF(3373,3384) = 1
LCM(3373,3384) = ( 3373 × 3384) / 1
LCM(3373,3384) = 11414232 / 1
LCM(3373,3384) = 11414232

Least Common Multiple (LCM) of 3373 and 3384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3373 and 3384. First we will calculate the prime factors of 3373 and 3384.

Prime Factorization of 3373

Prime factors of 3373 are 3373. Prime factorization of 3373 in exponential form is:

3373 = 33731

Prime Factorization of 3384

Prime factors of 3384 are 2, 3, 47. Prime factorization of 3384 in exponential form is:

3384 = 23 × 32 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3373 and 3384.

LCM(3373,3384) = 33731 × 23 × 32 × 471
LCM(3373,3384) = 11414232