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What is the Least Common Multiple of 92764 and 92783?

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 92783 is 8606922212.

LCM(92764,92783) = 8606922212

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Least Common Multiple of 92764 and 92783 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 92783, than apply into the LCM equation.

GCF(92764,92783) = 1
LCM(92764,92783) = ( 92764 × 92783) / 1
LCM(92764,92783) = 8606922212 / 1
LCM(92764,92783) = 8606922212

Least Common Multiple (LCM) of 92764 and 92783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92764 and 92783. First we will calculate the prime factors of 92764 and 92783.

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 92783

Prime factors of 92783 are 31, 41, 73. Prime factorization of 92783 in exponential form is:

92783 = 311 × 411 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 92764 and 92783.

LCM(92764,92783) = 22 × 71 × 33131 × 311 × 411 × 731
LCM(92764,92783) = 8606922212