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What is the Least Common Multiple of 67493 and 67508?

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 67493 and 67508 is 4556317444.

LCM(67493,67508) = 4556317444

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Least Common Multiple of 67493 and 67508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67493 and 67508, than apply into the LCM equation.

GCF(67493,67508) = 1
LCM(67493,67508) = ( 67493 × 67508) / 1
LCM(67493,67508) = 4556317444 / 1
LCM(67493,67508) = 4556317444

Least Common Multiple (LCM) of 67493 and 67508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67493 and 67508. First we will calculate the prime factors of 67493 and 67508.

Prime Factorization of 67493

Prime factors of 67493 are 67493. Prime factorization of 67493 in exponential form is:

67493 = 674931

Prime Factorization of 67508

Prime factors of 67508 are 2, 7, 2411. Prime factorization of 67508 in exponential form is:

67508 = 22 × 71 × 24111

Now multiplying the highest exponent prime factors to calculate the LCM of 67493 and 67508.

LCM(67493,67508) = 674931 × 22 × 71 × 24111
LCM(67493,67508) = 4556317444