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What is the Least Common Multiple of 16115 and 16126?

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 16115 and 16126 is 23624590.

LCM(16115,16126) = 23624590

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Least Common Multiple of 16115 and 16126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16115 and 16126, than apply into the LCM equation.

GCF(16115,16126) = 11
LCM(16115,16126) = ( 16115 × 16126) / 11
LCM(16115,16126) = 259870490 / 11
LCM(16115,16126) = 23624590

Least Common Multiple (LCM) of 16115 and 16126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16115 and 16126. First we will calculate the prime factors of 16115 and 16126.

Prime Factorization of 16115

Prime factors of 16115 are 5, 11, 293. Prime factorization of 16115 in exponential form is:

16115 = 51 × 111 × 2931

Prime Factorization of 16126

Prime factors of 16126 are 2, 11, 733. Prime factorization of 16126 in exponential form is:

16126 = 21 × 111 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 16115 and 16126.

LCM(16115,16126) = 51 × 111 × 2931 × 21 × 7331
LCM(16115,16126) = 23624590