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What is the Least Common Multiple of 92185 and 92193?

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 92185 and 92193 is 8498811705.

LCM(92185,92193) = 8498811705

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Least Common Multiple of 92185 and 92193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92185 and 92193, than apply into the LCM equation.

GCF(92185,92193) = 1
LCM(92185,92193) = ( 92185 × 92193) / 1
LCM(92185,92193) = 8498811705 / 1
LCM(92185,92193) = 8498811705

Least Common Multiple (LCM) of 92185 and 92193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92185 and 92193. First we will calculate the prime factors of 92185 and 92193.

Prime Factorization of 92185

Prime factors of 92185 are 5, 103, 179. Prime factorization of 92185 in exponential form is:

92185 = 51 × 1031 × 1791

Prime Factorization of 92193

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

92193 = 31 × 791 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 92185 and 92193.

LCM(92185,92193) = 51 × 1031 × 1791 × 31 × 791 × 3891
LCM(92185,92193) = 8498811705