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What is the Least Common Multiple of 30123 and 30130?

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 30123 and 30130 is 907605990.

LCM(30123,30130) = 907605990

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Least Common Multiple of 30123 and 30130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30123 and 30130, than apply into the LCM equation.

GCF(30123,30130) = 1
LCM(30123,30130) = ( 30123 × 30130) / 1
LCM(30123,30130) = 907605990 / 1
LCM(30123,30130) = 907605990

Least Common Multiple (LCM) of 30123 and 30130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30123 and 30130. First we will calculate the prime factors of 30123 and 30130.

Prime Factorization of 30123

Prime factors of 30123 are 3, 3347. Prime factorization of 30123 in exponential form is:

30123 = 32 × 33471

Prime Factorization of 30130

Prime factors of 30130 are 2, 5, 23, 131. Prime factorization of 30130 in exponential form is:

30130 = 21 × 51 × 231 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 30123 and 30130.

LCM(30123,30130) = 32 × 33471 × 21 × 51 × 231 × 1311
LCM(30123,30130) = 907605990