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What is the Least Common Multiple of 19307 and 19320?

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 19307 and 19320 is 373011240.

LCM(19307,19320) = 373011240

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Least Common Multiple of 19307 and 19320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19307 and 19320, than apply into the LCM equation.

GCF(19307,19320) = 1
LCM(19307,19320) = ( 19307 × 19320) / 1
LCM(19307,19320) = 373011240 / 1
LCM(19307,19320) = 373011240

Least Common Multiple (LCM) of 19307 and 19320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19307 and 19320. First we will calculate the prime factors of 19307 and 19320.

Prime Factorization of 19307

Prime factors of 19307 are 43, 449. Prime factorization of 19307 in exponential form is:

19307 = 431 × 4491

Prime Factorization of 19320

Prime factors of 19320 are 2, 3, 5, 7, 23. Prime factorization of 19320 in exponential form is:

19320 = 23 × 31 × 51 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 19307 and 19320.

LCM(19307,19320) = 431 × 4491 × 23 × 31 × 51 × 71 × 231
LCM(19307,19320) = 373011240