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What is the Least Common Multiple of 92170 and 92186?

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 92170 and 92186 is 4248391810.

LCM(92170,92186) = 4248391810

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Least Common Multiple of 92170 and 92186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92170 and 92186, than apply into the LCM equation.

GCF(92170,92186) = 2
LCM(92170,92186) = ( 92170 × 92186) / 2
LCM(92170,92186) = 8496783620 / 2
LCM(92170,92186) = 4248391810

Least Common Multiple (LCM) of 92170 and 92186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92170 and 92186. First we will calculate the prime factors of 92170 and 92186.

Prime Factorization of 92170

Prime factors of 92170 are 2, 5, 13, 709. Prime factorization of 92170 in exponential form is:

92170 = 21 × 51 × 131 × 7091

Prime Factorization of 92186

Prime factors of 92186 are 2, 46093. Prime factorization of 92186 in exponential form is:

92186 = 21 × 460931

Now multiplying the highest exponent prime factors to calculate the LCM of 92170 and 92186.

LCM(92170,92186) = 21 × 51 × 131 × 7091 × 460931
LCM(92170,92186) = 4248391810