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What is the Least Common Multiple of 41161 and 41170?

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 41161 and 41170 is 1694598370.

LCM(41161,41170) = 1694598370

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Least Common Multiple of 41161 and 41170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41161 and 41170, than apply into the LCM equation.

GCF(41161,41170) = 1
LCM(41161,41170) = ( 41161 × 41170) / 1
LCM(41161,41170) = 1694598370 / 1
LCM(41161,41170) = 1694598370

Least Common Multiple (LCM) of 41161 and 41170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41161 and 41170. First we will calculate the prime factors of 41161 and 41170.

Prime Factorization of 41161

Prime factors of 41161 are 41161. Prime factorization of 41161 in exponential form is:

41161 = 411611

Prime Factorization of 41170

Prime factors of 41170 are 2, 5, 23, 179. Prime factorization of 41170 in exponential form is:

41170 = 21 × 51 × 231 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 41161 and 41170.

LCM(41161,41170) = 411611 × 21 × 51 × 231 × 1791
LCM(41161,41170) = 1694598370