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What is the Least Common Multiple of 30379 and 30393?

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 30379 and 30393 is 923308947.

LCM(30379,30393) = 923308947

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Least Common Multiple of 30379 and 30393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30379 and 30393, than apply into the LCM equation.

GCF(30379,30393) = 1
LCM(30379,30393) = ( 30379 × 30393) / 1
LCM(30379,30393) = 923308947 / 1
LCM(30379,30393) = 923308947

Least Common Multiple (LCM) of 30379 and 30393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30379 and 30393. First we will calculate the prime factors of 30379 and 30393.

Prime Factorization of 30379

Prime factors of 30379 are 17, 1787. Prime factorization of 30379 in exponential form is:

30379 = 171 × 17871

Prime Factorization of 30393

Prime factors of 30393 are 3, 11, 307. Prime factorization of 30393 in exponential form is:

30393 = 32 × 111 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 30379 and 30393.

LCM(30379,30393) = 171 × 17871 × 32 × 111 × 3071
LCM(30379,30393) = 923308947