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What is the Least Common Multiple of 30798 and 30813?

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 30798 and 30813 is 316326258.

LCM(30798,30813) = 316326258

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Least Common Multiple of 30798 and 30813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30798 and 30813, than apply into the LCM equation.

GCF(30798,30813) = 3
LCM(30798,30813) = ( 30798 × 30813) / 3
LCM(30798,30813) = 948978774 / 3
LCM(30798,30813) = 316326258

Least Common Multiple (LCM) of 30798 and 30813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30798 and 30813. First we will calculate the prime factors of 30798 and 30813.

Prime Factorization of 30798

Prime factors of 30798 are 2, 3, 29, 59. Prime factorization of 30798 in exponential form is:

30798 = 21 × 32 × 291 × 591

Prime Factorization of 30813

Prime factors of 30813 are 3, 10271. Prime factorization of 30813 in exponential form is:

30813 = 31 × 102711

Now multiplying the highest exponent prime factors to calculate the LCM of 30798 and 30813.

LCM(30798,30813) = 21 × 32 × 291 × 591 × 102711
LCM(30798,30813) = 316326258