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What is the Least Common Multiple of 93186 and 93196?

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 93186 and 93196 is 4342281228.

LCM(93186,93196) = 4342281228

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Least Common Multiple of 93186 and 93196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93186 and 93196, than apply into the LCM equation.

GCF(93186,93196) = 2
LCM(93186,93196) = ( 93186 × 93196) / 2
LCM(93186,93196) = 8684562456 / 2
LCM(93186,93196) = 4342281228

Least Common Multiple (LCM) of 93186 and 93196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93186 and 93196. First we will calculate the prime factors of 93186 and 93196.

Prime Factorization of 93186

Prime factors of 93186 are 2, 3, 31, 167. Prime factorization of 93186 in exponential form is:

93186 = 21 × 32 × 311 × 1671

Prime Factorization of 93196

Prime factors of 93196 are 2, 23, 1013. Prime factorization of 93196 in exponential form is:

93196 = 22 × 231 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 93186 and 93196.

LCM(93186,93196) = 22 × 32 × 311 × 1671 × 231 × 10131
LCM(93186,93196) = 4342281228