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What is the Least Common Multiple of 92764 and 92775?

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 92764 and 92775 is 8606180100.

LCM(92764,92775) = 8606180100

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Least Common Multiple of 92764 and 92775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92764 and 92775, than apply into the LCM equation.

GCF(92764,92775) = 1
LCM(92764,92775) = ( 92764 × 92775) / 1
LCM(92764,92775) = 8606180100 / 1
LCM(92764,92775) = 8606180100

Least Common Multiple (LCM) of 92764 and 92775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92764 and 92775. First we will calculate the prime factors of 92764 and 92775.

Prime Factorization of 92764

Prime factors of 92764 are 2, 7, 3313. Prime factorization of 92764 in exponential form is:

92764 = 22 × 71 × 33131

Prime Factorization of 92775

Prime factors of 92775 are 3, 5, 1237. Prime factorization of 92775 in exponential form is:

92775 = 31 × 52 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 92764 and 92775.

LCM(92764,92775) = 22 × 71 × 33131 × 31 × 52 × 12371
LCM(92764,92775) = 8606180100