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What is the Least Common Multiple of 57161 and 57170?

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 57161 and 57170 is 3267894370.

LCM(57161,57170) = 3267894370

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Least Common Multiple of 57161 and 57170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57161 and 57170, than apply into the LCM equation.

GCF(57161,57170) = 1
LCM(57161,57170) = ( 57161 × 57170) / 1
LCM(57161,57170) = 3267894370 / 1
LCM(57161,57170) = 3267894370

Least Common Multiple (LCM) of 57161 and 57170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57161 and 57170. First we will calculate the prime factors of 57161 and 57170.

Prime Factorization of 57161

Prime factors of 57161 are 13, 4397. Prime factorization of 57161 in exponential form is:

57161 = 131 × 43971

Prime Factorization of 57170

Prime factors of 57170 are 2, 5, 5717. Prime factorization of 57170 in exponential form is:

57170 = 21 × 51 × 57171

Now multiplying the highest exponent prime factors to calculate the LCM of 57161 and 57170.

LCM(57161,57170) = 131 × 43971 × 21 × 51 × 57171
LCM(57161,57170) = 3267894370