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What is the Least Common Multiple of 92180 and 92191?

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 92180 and 92191 is 772560580.

LCM(92180,92191) = 772560580

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Least Common Multiple of 92180 and 92191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92180 and 92191, than apply into the LCM equation.

GCF(92180,92191) = 11
LCM(92180,92191) = ( 92180 × 92191) / 11
LCM(92180,92191) = 8498166380 / 11
LCM(92180,92191) = 772560580

Least Common Multiple (LCM) of 92180 and 92191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92180 and 92191. First we will calculate the prime factors of 92180 and 92191.

Prime Factorization of 92180

Prime factors of 92180 are 2, 5, 11, 419. Prime factorization of 92180 in exponential form is:

92180 = 22 × 51 × 111 × 4191

Prime Factorization of 92191

Prime factors of 92191 are 11, 17, 29. Prime factorization of 92191 in exponential form is:

92191 = 111 × 172 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 92180 and 92191.

LCM(92180,92191) = 22 × 51 × 111 × 4191 × 172 × 291
LCM(92180,92191) = 772560580