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What is the Least Common Multiple of 12920 and 12930?

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 12920 and 12930 is 16705560.

LCM(12920,12930) = 16705560

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Least Common Multiple of 12920 and 12930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12920 and 12930, than apply into the LCM equation.

GCF(12920,12930) = 10
LCM(12920,12930) = ( 12920 × 12930) / 10
LCM(12920,12930) = 167055600 / 10
LCM(12920,12930) = 16705560

Least Common Multiple (LCM) of 12920 and 12930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12920 and 12930. First we will calculate the prime factors of 12920 and 12930.

Prime Factorization of 12920

Prime factors of 12920 are 2, 5, 17, 19. Prime factorization of 12920 in exponential form is:

12920 = 23 × 51 × 171 × 191

Prime Factorization of 12930

Prime factors of 12930 are 2, 3, 5, 431. Prime factorization of 12930 in exponential form is:

12930 = 21 × 31 × 51 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 12920 and 12930.

LCM(12920,12930) = 23 × 51 × 171 × 191 × 31 × 4311
LCM(12920,12930) = 16705560