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What is the Least Common Multiple of 12918 and 12938?

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 12918 and 12938 is 83566542.

LCM(12918,12938) = 83566542

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Least Common Multiple of 12918 and 12938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12918 and 12938, than apply into the LCM equation.

GCF(12918,12938) = 2
LCM(12918,12938) = ( 12918 × 12938) / 2
LCM(12918,12938) = 167133084 / 2
LCM(12918,12938) = 83566542

Least Common Multiple (LCM) of 12918 and 12938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12918 and 12938. First we will calculate the prime factors of 12918 and 12938.

Prime Factorization of 12918

Prime factors of 12918 are 2, 3, 2153. Prime factorization of 12918 in exponential form is:

12918 = 21 × 31 × 21531

Prime Factorization of 12938

Prime factors of 12938 are 2, 6469. Prime factorization of 12938 in exponential form is:

12938 = 21 × 64691

Now multiplying the highest exponent prime factors to calculate the LCM of 12918 and 12938.

LCM(12918,12938) = 21 × 31 × 21531 × 64691
LCM(12918,12938) = 83566542