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What is the Least Common Multiple of 12421 and 12440?

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 12421 and 12440 is 154517240.

LCM(12421,12440) = 154517240

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Least Common Multiple of 12421 and 12440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12421 and 12440, than apply into the LCM equation.

GCF(12421,12440) = 1
LCM(12421,12440) = ( 12421 × 12440) / 1
LCM(12421,12440) = 154517240 / 1
LCM(12421,12440) = 154517240

Least Common Multiple (LCM) of 12421 and 12440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12421 and 12440. First we will calculate the prime factors of 12421 and 12440.

Prime Factorization of 12421

Prime factors of 12421 are 12421. Prime factorization of 12421 in exponential form is:

12421 = 124211

Prime Factorization of 12440

Prime factors of 12440 are 2, 5, 311. Prime factorization of 12440 in exponential form is:

12440 = 23 × 51 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 12421 and 12440.

LCM(12421,12440) = 124211 × 23 × 51 × 3111
LCM(12421,12440) = 154517240