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What is the Least Common Multiple of 14368 and 14380?

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 14368 and 14380 is 51652960.

LCM(14368,14380) = 51652960

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Least Common Multiple of 14368 and 14380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14368 and 14380, than apply into the LCM equation.

GCF(14368,14380) = 4
LCM(14368,14380) = ( 14368 × 14380) / 4
LCM(14368,14380) = 206611840 / 4
LCM(14368,14380) = 51652960

Least Common Multiple (LCM) of 14368 and 14380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14368 and 14380. First we will calculate the prime factors of 14368 and 14380.

Prime Factorization of 14368

Prime factors of 14368 are 2, 449. Prime factorization of 14368 in exponential form is:

14368 = 25 × 4491

Prime Factorization of 14380

Prime factors of 14380 are 2, 5, 719. Prime factorization of 14380 in exponential form is:

14380 = 22 × 51 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 14368 and 14380.

LCM(14368,14380) = 25 × 4491 × 51 × 7191
LCM(14368,14380) = 51652960