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What is the Least Common Multiple of 16057 and 16071?

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 16057 and 16071 is 258052047.

LCM(16057,16071) = 258052047

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Least Common Multiple of 16057 and 16071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16057 and 16071, than apply into the LCM equation.

GCF(16057,16071) = 1
LCM(16057,16071) = ( 16057 × 16071) / 1
LCM(16057,16071) = 258052047 / 1
LCM(16057,16071) = 258052047

Least Common Multiple (LCM) of 16057 and 16071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16057 and 16071. First we will calculate the prime factors of 16057 and 16071.

Prime Factorization of 16057

Prime factors of 16057 are 16057. Prime factorization of 16057 in exponential form is:

16057 = 160571

Prime Factorization of 16071

Prime factors of 16071 are 3, 11, 487. Prime factorization of 16071 in exponential form is:

16071 = 31 × 111 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 16057 and 16071.

LCM(16057,16071) = 160571 × 31 × 111 × 4871
LCM(16057,16071) = 258052047