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What is the Least Common Multiple of 30294 and 30313?

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 30294 and 30313 is 918302022.

LCM(30294,30313) = 918302022

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Least Common Multiple of 30294 and 30313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30294 and 30313, than apply into the LCM equation.

GCF(30294,30313) = 1
LCM(30294,30313) = ( 30294 × 30313) / 1
LCM(30294,30313) = 918302022 / 1
LCM(30294,30313) = 918302022

Least Common Multiple (LCM) of 30294 and 30313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30294 and 30313. First we will calculate the prime factors of 30294 and 30313.

Prime Factorization of 30294

Prime factors of 30294 are 2, 3, 11, 17. Prime factorization of 30294 in exponential form is:

30294 = 21 × 34 × 111 × 171

Prime Factorization of 30313

Prime factors of 30313 are 30313. Prime factorization of 30313 in exponential form is:

30313 = 303131

Now multiplying the highest exponent prime factors to calculate the LCM of 30294 and 30313.

LCM(30294,30313) = 21 × 34 × 111 × 171 × 303131
LCM(30294,30313) = 918302022