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What is the Least Common Multiple of 16157 and 16177?

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 16157 and 16177 is 261371789.

LCM(16157,16177) = 261371789

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Least Common Multiple of 16157 and 16177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16157 and 16177, than apply into the LCM equation.

GCF(16157,16177) = 1
LCM(16157,16177) = ( 16157 × 16177) / 1
LCM(16157,16177) = 261371789 / 1
LCM(16157,16177) = 261371789

Least Common Multiple (LCM) of 16157 and 16177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16157 and 16177. First we will calculate the prime factors of 16157 and 16177.

Prime Factorization of 16157

Prime factors of 16157 are 107, 151. Prime factorization of 16157 in exponential form is:

16157 = 1071 × 1511

Prime Factorization of 16177

Prime factors of 16177 are 7, 2311. Prime factorization of 16177 in exponential form is:

16177 = 71 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 16157 and 16177.

LCM(16157,16177) = 1071 × 1511 × 71 × 23111
LCM(16157,16177) = 261371789