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What is the Least Common Multiple of 92171 and 92182?

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 92171 and 92182 is 8496507122.

LCM(92171,92182) = 8496507122

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Least Common Multiple of 92171 and 92182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92171 and 92182, than apply into the LCM equation.

GCF(92171,92182) = 1
LCM(92171,92182) = ( 92171 × 92182) / 1
LCM(92171,92182) = 8496507122 / 1
LCM(92171,92182) = 8496507122

Least Common Multiple (LCM) of 92171 and 92182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92171 and 92182. First we will calculate the prime factors of 92171 and 92182.

Prime Factorization of 92171

Prime factors of 92171 are 61, 1511. Prime factorization of 92171 in exponential form is:

92171 = 611 × 15111

Prime Factorization of 92182

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

92182 = 21 × 460911

Now multiplying the highest exponent prime factors to calculate the LCM of 92171 and 92182.

LCM(92171,92182) = 611 × 15111 × 21 × 460911
LCM(92171,92182) = 8496507122