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What is the Least Common Multiple of 30276 and 30283?

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 30276 and 30283 is 916848108.

LCM(30276,30283) = 916848108

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Least Common Multiple of 30276 and 30283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30276 and 30283, than apply into the LCM equation.

GCF(30276,30283) = 1
LCM(30276,30283) = ( 30276 × 30283) / 1
LCM(30276,30283) = 916848108 / 1
LCM(30276,30283) = 916848108

Least Common Multiple (LCM) of 30276 and 30283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30276 and 30283. First we will calculate the prime factors of 30276 and 30283.

Prime Factorization of 30276

Prime factors of 30276 are 2, 3, 29. Prime factorization of 30276 in exponential form is:

30276 = 22 × 32 × 292

Prime Factorization of 30283

Prime factors of 30283 are 11, 2753. Prime factorization of 30283 in exponential form is:

30283 = 111 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 30276 and 30283.

LCM(30276,30283) = 22 × 32 × 292 × 111 × 27531
LCM(30276,30283) = 916848108