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What is the Least Common Multiple of 59161 and 59181?

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 59161 and 59181 is 3501207141.

LCM(59161,59181) = 3501207141

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Least Common Multiple of 59161 and 59181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59161 and 59181, than apply into the LCM equation.

GCF(59161,59181) = 1
LCM(59161,59181) = ( 59161 × 59181) / 1
LCM(59161,59181) = 3501207141 / 1
LCM(59161,59181) = 3501207141

Least Common Multiple (LCM) of 59161 and 59181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59161 and 59181. First we will calculate the prime factors of 59161 and 59181.

Prime Factorization of 59161

Prime factors of 59161 are 67, 883. Prime factorization of 59161 in exponential form is:

59161 = 671 × 8831

Prime Factorization of 59181

Prime factors of 59181 are 3, 19727. Prime factorization of 59181 in exponential form is:

59181 = 31 × 197271

Now multiplying the highest exponent prime factors to calculate the LCM of 59161 and 59181.

LCM(59161,59181) = 671 × 8831 × 31 × 197271
LCM(59161,59181) = 3501207141