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What is the Least Common Multiple of 13362 and 13374?

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 13362 and 13374 is 29783898.

LCM(13362,13374) = 29783898

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Least Common Multiple of 13362 and 13374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13362 and 13374, than apply into the LCM equation.

GCF(13362,13374) = 6
LCM(13362,13374) = ( 13362 × 13374) / 6
LCM(13362,13374) = 178703388 / 6
LCM(13362,13374) = 29783898

Least Common Multiple (LCM) of 13362 and 13374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13362 and 13374. First we will calculate the prime factors of 13362 and 13374.

Prime Factorization of 13362

Prime factors of 13362 are 2, 3, 17, 131. Prime factorization of 13362 in exponential form is:

13362 = 21 × 31 × 171 × 1311

Prime Factorization of 13374

Prime factors of 13374 are 2, 3, 743. Prime factorization of 13374 in exponential form is:

13374 = 21 × 32 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 13362 and 13374.

LCM(13362,13374) = 21 × 32 × 171 × 1311 × 7431
LCM(13362,13374) = 29783898