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What is the Least Common Multiple of 92299 and 92305?

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 92299 and 92305 is 8519659195.

LCM(92299,92305) = 8519659195

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Least Common Multiple of 92299 and 92305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92299 and 92305, than apply into the LCM equation.

GCF(92299,92305) = 1
LCM(92299,92305) = ( 92299 × 92305) / 1
LCM(92299,92305) = 8519659195 / 1
LCM(92299,92305) = 8519659195

Least Common Multiple (LCM) of 92299 and 92305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92299 and 92305. First we will calculate the prime factors of 92299 and 92305.

Prime Factorization of 92299

Prime factors of 92299 are 23, 4013. Prime factorization of 92299 in exponential form is:

92299 = 231 × 40131

Prime Factorization of 92305

Prime factors of 92305 are 5, 18461. Prime factorization of 92305 in exponential form is:

92305 = 51 × 184611

Now multiplying the highest exponent prime factors to calculate the LCM of 92299 and 92305.

LCM(92299,92305) = 231 × 40131 × 51 × 184611
LCM(92299,92305) = 8519659195