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What is the Least Common Multiple of 57153 and 57161?

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 57153 and 57161 is 3266922633.

LCM(57153,57161) = 3266922633

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Least Common Multiple of 57153 and 57161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57153 and 57161, than apply into the LCM equation.

GCF(57153,57161) = 1
LCM(57153,57161) = ( 57153 × 57161) / 1
LCM(57153,57161) = 3266922633 / 1
LCM(57153,57161) = 3266922633

Least Common Multiple (LCM) of 57153 and 57161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57153 and 57161. First we will calculate the prime factors of 57153 and 57161.

Prime Factorization of 57153

Prime factors of 57153 are 3, 19051. Prime factorization of 57153 in exponential form is:

57153 = 31 × 190511

Prime Factorization of 57161

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

57161 = 131 × 43971

Now multiplying the highest exponent prime factors to calculate the LCM of 57153 and 57161.

LCM(57153,57161) = 31 × 190511 × 131 × 43971
LCM(57153,57161) = 3266922633