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What is the Least Common Multiple of 92394 and 92406?

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 92394 and 92406 is 1422959994.

LCM(92394,92406) = 1422959994

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Least Common Multiple of 92394 and 92406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92394 and 92406, than apply into the LCM equation.

GCF(92394,92406) = 6
LCM(92394,92406) = ( 92394 × 92406) / 6
LCM(92394,92406) = 8537759964 / 6
LCM(92394,92406) = 1422959994

Least Common Multiple (LCM) of 92394 and 92406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92394 and 92406. First we will calculate the prime factors of 92394 and 92406.

Prime Factorization of 92394

Prime factors of 92394 are 2, 3, 29, 59. Prime factorization of 92394 in exponential form is:

92394 = 21 × 33 × 291 × 591

Prime Factorization of 92406

Prime factors of 92406 are 2, 3, 15401. Prime factorization of 92406 in exponential form is:

92406 = 21 × 31 × 154011

Now multiplying the highest exponent prime factors to calculate the LCM of 92394 and 92406.

LCM(92394,92406) = 21 × 33 × 291 × 591 × 154011
LCM(92394,92406) = 1422959994