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What is the Least Common Multiple of 67413 and 67423?

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 67413 and 67423 is 4545186699.

LCM(67413,67423) = 4545186699

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Least Common Multiple of 67413 and 67423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67413 and 67423, than apply into the LCM equation.

GCF(67413,67423) = 1
LCM(67413,67423) = ( 67413 × 67423) / 1
LCM(67413,67423) = 4545186699 / 1
LCM(67413,67423) = 4545186699

Least Common Multiple (LCM) of 67413 and 67423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67413 and 67423. First we will calculate the prime factors of 67413 and 67423.

Prime Factorization of 67413

Prime factors of 67413 are 3, 23, 977. Prime factorization of 67413 in exponential form is:

67413 = 31 × 231 × 9771

Prime Factorization of 67423

Prime factors of 67423 are 191, 353. Prime factorization of 67423 in exponential form is:

67423 = 1911 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 67413 and 67423.

LCM(67413,67423) = 31 × 231 × 9771 × 1911 × 3531
LCM(67413,67423) = 4545186699