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What is the Least Common Multiple of 92797 and 92802?

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 92797 and 92802 is 8611747194.

LCM(92797,92802) = 8611747194

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Least Common Multiple of 92797 and 92802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92797 and 92802, than apply into the LCM equation.

GCF(92797,92802) = 1
LCM(92797,92802) = ( 92797 × 92802) / 1
LCM(92797,92802) = 8611747194 / 1
LCM(92797,92802) = 8611747194

Least Common Multiple (LCM) of 92797 and 92802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92797 and 92802. First we will calculate the prime factors of 92797 and 92802.

Prime Factorization of 92797

Prime factors of 92797 are 71, 1307. Prime factorization of 92797 in exponential form is:

92797 = 711 × 13071

Prime Factorization of 92802

Prime factors of 92802 are 2, 3, 15467. Prime factorization of 92802 in exponential form is:

92802 = 21 × 31 × 154671

Now multiplying the highest exponent prime factors to calculate the LCM of 92797 and 92802.

LCM(92797,92802) = 711 × 13071 × 21 × 31 × 154671
LCM(92797,92802) = 8611747194