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What is the Least Common Multiple of 92193 and 92198?

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 92193 and 92198 is 8500010214.

LCM(92193,92198) = 8500010214

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Least Common Multiple of 92193 and 92198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92193 and 92198, than apply into the LCM equation.

GCF(92193,92198) = 1
LCM(92193,92198) = ( 92193 × 92198) / 1
LCM(92193,92198) = 8500010214 / 1
LCM(92193,92198) = 8500010214

Least Common Multiple (LCM) of 92193 and 92198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92193 and 92198. First we will calculate the prime factors of 92193 and 92198.

Prime Factorization of 92193

Prime factors of 92193 are 3, 79, 389. Prime factorization of 92193 in exponential form is:

92193 = 31 × 791 × 3891

Prime Factorization of 92198

Prime factors of 92198 are 2, 46099. Prime factorization of 92198 in exponential form is:

92198 = 21 × 460991

Now multiplying the highest exponent prime factors to calculate the LCM of 92193 and 92198.

LCM(92193,92198) = 31 × 791 × 3891 × 21 × 460991
LCM(92193,92198) = 8500010214