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What is the Least Common Multiple of 30567 and 30579?

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 30567 and 30579 is 311569431.

LCM(30567,30579) = 311569431

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Least Common Multiple of 30567 and 30579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30567 and 30579, than apply into the LCM equation.

GCF(30567,30579) = 3
LCM(30567,30579) = ( 30567 × 30579) / 3
LCM(30567,30579) = 934708293 / 3
LCM(30567,30579) = 311569431

Least Common Multiple (LCM) of 30567 and 30579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30567 and 30579. First we will calculate the prime factors of 30567 and 30579.

Prime Factorization of 30567

Prime factors of 30567 are 3, 23, 443. Prime factorization of 30567 in exponential form is:

30567 = 31 × 231 × 4431

Prime Factorization of 30579

Prime factors of 30579 are 3, 10193. Prime factorization of 30579 in exponential form is:

30579 = 31 × 101931

Now multiplying the highest exponent prime factors to calculate the LCM of 30567 and 30579.

LCM(30567,30579) = 31 × 231 × 4431 × 101931
LCM(30567,30579) = 311569431