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What is the Least Common Multiple of 92174 and 92190?

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 92174 and 92190 is 4248760530.

LCM(92174,92190) = 4248760530

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Least Common Multiple of 92174 and 92190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92174 and 92190, than apply into the LCM equation.

GCF(92174,92190) = 2
LCM(92174,92190) = ( 92174 × 92190) / 2
LCM(92174,92190) = 8497521060 / 2
LCM(92174,92190) = 4248760530

Least Common Multiple (LCM) of 92174 and 92190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92174 and 92190. First we will calculate the prime factors of 92174 and 92190.

Prime Factorization of 92174

Prime factors of 92174 are 2, 17, 2711. Prime factorization of 92174 in exponential form is:

92174 = 21 × 171 × 27111

Prime Factorization of 92190

Prime factors of 92190 are 2, 3, 5, 7, 439. Prime factorization of 92190 in exponential form is:

92190 = 21 × 31 × 51 × 71 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 92174 and 92190.

LCM(92174,92190) = 21 × 171 × 27111 × 31 × 51 × 71 × 4391
LCM(92174,92190) = 4248760530