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What is the Least Common Multiple of 30333 and 30349?

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 30333 and 30349 is 920576217.

LCM(30333,30349) = 920576217

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Least Common Multiple of 30333 and 30349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30333 and 30349, than apply into the LCM equation.

GCF(30333,30349) = 1
LCM(30333,30349) = ( 30333 × 30349) / 1
LCM(30333,30349) = 920576217 / 1
LCM(30333,30349) = 920576217

Least Common Multiple (LCM) of 30333 and 30349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30333 and 30349. First we will calculate the prime factors of 30333 and 30349.

Prime Factorization of 30333

Prime factors of 30333 are 3, 10111. Prime factorization of 30333 in exponential form is:

30333 = 31 × 101111

Prime Factorization of 30349

Prime factors of 30349 are 11, 31, 89. Prime factorization of 30349 in exponential form is:

30349 = 111 × 311 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 30333 and 30349.

LCM(30333,30349) = 31 × 101111 × 111 × 311 × 891
LCM(30333,30349) = 920576217