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What is the Least Common Multiple of 16060 and 16079?

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 16060 and 16079 is 258228740.

LCM(16060,16079) = 258228740

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Least Common Multiple of 16060 and 16079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16060 and 16079, than apply into the LCM equation.

GCF(16060,16079) = 1
LCM(16060,16079) = ( 16060 × 16079) / 1
LCM(16060,16079) = 258228740 / 1
LCM(16060,16079) = 258228740

Least Common Multiple (LCM) of 16060 and 16079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16060 and 16079. First we will calculate the prime factors of 16060 and 16079.

Prime Factorization of 16060

Prime factors of 16060 are 2, 5, 11, 73. Prime factorization of 16060 in exponential form is:

16060 = 22 × 51 × 111 × 731

Prime Factorization of 16079

Prime factors of 16079 are 7, 2297. Prime factorization of 16079 in exponential form is:

16079 = 71 × 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 16060 and 16079.

LCM(16060,16079) = 22 × 51 × 111 × 731 × 71 × 22971
LCM(16060,16079) = 258228740