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What is the Least Common Multiple of 92170 and 92179?

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 92179 is 8496138430.

LCM(92170,92179) = 8496138430

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Least Common Multiple of 92170 and 92179 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 92179, than apply into the LCM equation.

GCF(92170,92179) = 1
LCM(92170,92179) = ( 92170 × 92179) / 1
LCM(92170,92179) = 8496138430 / 1
LCM(92170,92179) = 8496138430

Least Common Multiple (LCM) of 92170 and 92179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92170 and 92179. First we will calculate the prime factors of 92170 and 92179.

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 92179

Prime factors of 92179 are 92179. Prime factorization of 92179 in exponential form is:

92179 = 921791

Now multiplying the highest exponent prime factors to calculate the LCM of 92170 and 92179.

LCM(92170,92179) = 21 × 51 × 131 × 7091 × 921791
LCM(92170,92179) = 8496138430