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What is the Least Common Multiple of 16120 and 16134?

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 16120 and 16134 is 130040040.

LCM(16120,16134) = 130040040

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Least Common Multiple of 16120 and 16134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16120 and 16134, than apply into the LCM equation.

GCF(16120,16134) = 2
LCM(16120,16134) = ( 16120 × 16134) / 2
LCM(16120,16134) = 260080080 / 2
LCM(16120,16134) = 130040040

Least Common Multiple (LCM) of 16120 and 16134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16120 and 16134. First we will calculate the prime factors of 16120 and 16134.

Prime Factorization of 16120

Prime factors of 16120 are 2, 5, 13, 31. Prime factorization of 16120 in exponential form is:

16120 = 23 × 51 × 131 × 311

Prime Factorization of 16134

Prime factors of 16134 are 2, 3, 2689. Prime factorization of 16134 in exponential form is:

16134 = 21 × 31 × 26891

Now multiplying the highest exponent prime factors to calculate the LCM of 16120 and 16134.

LCM(16120,16134) = 23 × 51 × 131 × 311 × 31 × 26891
LCM(16120,16134) = 130040040