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What is the Least Common Multiple of 92306 and 92325?

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 92306 and 92325 is 8522151450.

LCM(92306,92325) = 8522151450

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Least Common Multiple of 92306 and 92325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92306 and 92325, than apply into the LCM equation.

GCF(92306,92325) = 1
LCM(92306,92325) = ( 92306 × 92325) / 1
LCM(92306,92325) = 8522151450 / 1
LCM(92306,92325) = 8522151450

Least Common Multiple (LCM) of 92306 and 92325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92306 and 92325. First we will calculate the prime factors of 92306 and 92325.

Prime Factorization of 92306

Prime factors of 92306 are 2, 46153. Prime factorization of 92306 in exponential form is:

92306 = 21 × 461531

Prime Factorization of 92325

Prime factors of 92325 are 3, 5, 1231. Prime factorization of 92325 in exponential form is:

92325 = 31 × 52 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 92306 and 92325.

LCM(92306,92325) = 21 × 461531 × 31 × 52 × 12311
LCM(92306,92325) = 8522151450