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What is the Least Common Multiple of 13372 and 13380?

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 13372 and 13380 is 44729340.

LCM(13372,13380) = 44729340

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Least Common Multiple of 13372 and 13380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13372 and 13380, than apply into the LCM equation.

GCF(13372,13380) = 4
LCM(13372,13380) = ( 13372 × 13380) / 4
LCM(13372,13380) = 178917360 / 4
LCM(13372,13380) = 44729340

Least Common Multiple (LCM) of 13372 and 13380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13372 and 13380. First we will calculate the prime factors of 13372 and 13380.

Prime Factorization of 13372

Prime factors of 13372 are 2, 3343. Prime factorization of 13372 in exponential form is:

13372 = 22 × 33431

Prime Factorization of 13380

Prime factors of 13380 are 2, 3, 5, 223. Prime factorization of 13380 in exponential form is:

13380 = 22 × 31 × 51 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 13372 and 13380.

LCM(13372,13380) = 22 × 33431 × 31 × 51 × 2231
LCM(13372,13380) = 44729340