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What is the Least Common Multiple of 12921 and 12940?

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 12921 and 12940 is 167197740.

LCM(12921,12940) = 167197740

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Least Common Multiple of 12921 and 12940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12921 and 12940, than apply into the LCM equation.

GCF(12921,12940) = 1
LCM(12921,12940) = ( 12921 × 12940) / 1
LCM(12921,12940) = 167197740 / 1
LCM(12921,12940) = 167197740

Least Common Multiple (LCM) of 12921 and 12940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12921 and 12940. First we will calculate the prime factors of 12921 and 12940.

Prime Factorization of 12921

Prime factors of 12921 are 3, 59, 73. Prime factorization of 12921 in exponential form is:

12921 = 31 × 591 × 731

Prime Factorization of 12940

Prime factors of 12940 are 2, 5, 647. Prime factorization of 12940 in exponential form is:

12940 = 22 × 51 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 12921 and 12940.

LCM(12921,12940) = 31 × 591 × 731 × 22 × 51 × 6471
LCM(12921,12940) = 167197740