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What is the Least Common Multiple of 92449 and 92467?

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 92449 and 92467 is 8548481683.

LCM(92449,92467) = 8548481683

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Least Common Multiple of 92449 and 92467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92449 and 92467, than apply into the LCM equation.

GCF(92449,92467) = 1
LCM(92449,92467) = ( 92449 × 92467) / 1
LCM(92449,92467) = 8548481683 / 1
LCM(92449,92467) = 8548481683

Least Common Multiple (LCM) of 92449 and 92467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92449 and 92467. First we will calculate the prime factors of 92449 and 92467.

Prime Factorization of 92449

Prime factors of 92449 are 7, 47, 281. Prime factorization of 92449 in exponential form is:

92449 = 71 × 471 × 2811

Prime Factorization of 92467

Prime factors of 92467 are 92467. Prime factorization of 92467 in exponential form is:

92467 = 924671

Now multiplying the highest exponent prime factors to calculate the LCM of 92449 and 92467.

LCM(92449,92467) = 71 × 471 × 2811 × 924671
LCM(92449,92467) = 8548481683