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What is the Least Common Multiple of 92458 and 92473?

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 92458 and 92473 is 8549868634.

LCM(92458,92473) = 8549868634

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Least Common Multiple of 92458 and 92473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92458 and 92473, than apply into the LCM equation.

GCF(92458,92473) = 1
LCM(92458,92473) = ( 92458 × 92473) / 1
LCM(92458,92473) = 8549868634 / 1
LCM(92458,92473) = 8549868634

Least Common Multiple (LCM) of 92458 and 92473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92458 and 92473. First we will calculate the prime factors of 92458 and 92473.

Prime Factorization of 92458

Prime factors of 92458 are 2, 46229. Prime factorization of 92458 in exponential form is:

92458 = 21 × 462291

Prime Factorization of 92473

Prime factors of 92473 are 19, 31, 157. Prime factorization of 92473 in exponential form is:

92473 = 191 × 311 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 92458 and 92473.

LCM(92458,92473) = 21 × 462291 × 191 × 311 × 1571
LCM(92458,92473) = 8549868634