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What is the Least Common Multiple of 92893 and 92900?

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 92893 and 92900 is 8629759700.

LCM(92893,92900) = 8629759700

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Least Common Multiple of 92893 and 92900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92893 and 92900, than apply into the LCM equation.

GCF(92893,92900) = 1
LCM(92893,92900) = ( 92893 × 92900) / 1
LCM(92893,92900) = 8629759700 / 1
LCM(92893,92900) = 8629759700

Least Common Multiple (LCM) of 92893 and 92900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92893 and 92900. First we will calculate the prime factors of 92893 and 92900.

Prime Factorization of 92893

Prime factors of 92893 are 92893. Prime factorization of 92893 in exponential form is:

92893 = 928931

Prime Factorization of 92900

Prime factors of 92900 are 2, 5, 929. Prime factorization of 92900 in exponential form is:

92900 = 22 × 52 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 92893 and 92900.

LCM(92893,92900) = 928931 × 22 × 52 × 9291
LCM(92893,92900) = 8629759700