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What is the Least Common Multiple of 92259 and 92270?

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 92259 and 92270 is 8512737930.

LCM(92259,92270) = 8512737930

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Least Common Multiple of 92259 and 92270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92259 and 92270, than apply into the LCM equation.

GCF(92259,92270) = 1
LCM(92259,92270) = ( 92259 × 92270) / 1
LCM(92259,92270) = 8512737930 / 1
LCM(92259,92270) = 8512737930

Least Common Multiple (LCM) of 92259 and 92270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92259 and 92270. First we will calculate the prime factors of 92259 and 92270.

Prime Factorization of 92259

Prime factors of 92259 are 3, 17, 67. Prime factorization of 92259 in exponential form is:

92259 = 34 × 171 × 671

Prime Factorization of 92270

Prime factors of 92270 are 2, 5, 9227. Prime factorization of 92270 in exponential form is:

92270 = 21 × 51 × 92271

Now multiplying the highest exponent prime factors to calculate the LCM of 92259 and 92270.

LCM(92259,92270) = 34 × 171 × 671 × 21 × 51 × 92271
LCM(92259,92270) = 8512737930