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What is the Least Common Multiple of 16120 and 16138?

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 16138 is 130072280.

LCM(16120,16138) = 130072280

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Least Common Multiple of 16120 and 16138 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 16138, than apply into the LCM equation.

GCF(16120,16138) = 2
LCM(16120,16138) = ( 16120 × 16138) / 2
LCM(16120,16138) = 260144560 / 2
LCM(16120,16138) = 130072280

Least Common Multiple (LCM) of 16120 and 16138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16120 and 16138. First we will calculate the prime factors of 16120 and 16138.

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 16138

Prime factors of 16138 are 2, 8069. Prime factorization of 16138 in exponential form is:

16138 = 21 × 80691

Now multiplying the highest exponent prime factors to calculate the LCM of 16120 and 16138.

LCM(16120,16138) = 23 × 51 × 131 × 311 × 80691
LCM(16120,16138) = 130072280