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What is the Least Common Multiple of 14355 and 14371?

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 14355 and 14371 is 206295705.

LCM(14355,14371) = 206295705

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Least Common Multiple of 14355 and 14371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14355 and 14371, than apply into the LCM equation.

GCF(14355,14371) = 1
LCM(14355,14371) = ( 14355 × 14371) / 1
LCM(14355,14371) = 206295705 / 1
LCM(14355,14371) = 206295705

Least Common Multiple (LCM) of 14355 and 14371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14355 and 14371. First we will calculate the prime factors of 14355 and 14371.

Prime Factorization of 14355

Prime factors of 14355 are 3, 5, 11, 29. Prime factorization of 14355 in exponential form is:

14355 = 32 × 51 × 111 × 291

Prime Factorization of 14371

Prime factors of 14371 are 7, 2053. Prime factorization of 14371 in exponential form is:

14371 = 71 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 14355 and 14371.

LCM(14355,14371) = 32 × 51 × 111 × 291 × 71 × 20531
LCM(14355,14371) = 206295705