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What is the Least Common Multiple of 92467 and 92487?

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 92467 and 92487 is 8551995429.

LCM(92467,92487) = 8551995429

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Least Common Multiple of 92467 and 92487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92467 and 92487, than apply into the LCM equation.

GCF(92467,92487) = 1
LCM(92467,92487) = ( 92467 × 92487) / 1
LCM(92467,92487) = 8551995429 / 1
LCM(92467,92487) = 8551995429

Least Common Multiple (LCM) of 92467 and 92487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92467 and 92487. First we will calculate the prime factors of 92467 and 92487.

Prime Factorization of 92467

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

92467 = 924671

Prime Factorization of 92487

Prime factors of 92487 are 3, 30829. Prime factorization of 92487 in exponential form is:

92487 = 31 × 308291

Now multiplying the highest exponent prime factors to calculate the LCM of 92467 and 92487.

LCM(92467,92487) = 924671 × 31 × 308291
LCM(92467,92487) = 8551995429