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What is the Least Common Multiple of 30347 and 30359?

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 30347 and 30359 is 921304573.

LCM(30347,30359) = 921304573

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Least Common Multiple of 30347 and 30359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30347 and 30359, than apply into the LCM equation.

GCF(30347,30359) = 1
LCM(30347,30359) = ( 30347 × 30359) / 1
LCM(30347,30359) = 921304573 / 1
LCM(30347,30359) = 921304573

Least Common Multiple (LCM) of 30347 and 30359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30347 and 30359. First we will calculate the prime factors of 30347 and 30359.

Prime Factorization of 30347

Prime factors of 30347 are 30347. Prime factorization of 30347 in exponential form is:

30347 = 303471

Prime Factorization of 30359

Prime factors of 30359 are 7, 4337. Prime factorization of 30359 in exponential form is:

30359 = 71 × 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 30347 and 30359.

LCM(30347,30359) = 303471 × 71 × 43371
LCM(30347,30359) = 921304573