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What is the Least Common Multiple of 92182 and 92188?

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 92182 and 92188 is 4249037108.

LCM(92182,92188) = 4249037108

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Least Common Multiple of 92182 and 92188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92182 and 92188, than apply into the LCM equation.

GCF(92182,92188) = 2
LCM(92182,92188) = ( 92182 × 92188) / 2
LCM(92182,92188) = 8498074216 / 2
LCM(92182,92188) = 4249037108

Least Common Multiple (LCM) of 92182 and 92188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92182 and 92188. First we will calculate the prime factors of 92182 and 92188.

Prime Factorization of 92182

Prime factors of 92182 are 2, 46091. Prime factorization of 92182 in exponential form is:

92182 = 21 × 460911

Prime Factorization of 92188

Prime factors of 92188 are 2, 19, 1213. Prime factorization of 92188 in exponential form is:

92188 = 22 × 191 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 92182 and 92188.

LCM(92182,92188) = 22 × 460911 × 191 × 12131
LCM(92182,92188) = 4249037108