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What is the Least Common Multiple of 10154 and 10168?

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 10154 and 10168 is 51622936.

LCM(10154,10168) = 51622936

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Least Common Multiple of 10154 and 10168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10154 and 10168, than apply into the LCM equation.

GCF(10154,10168) = 2
LCM(10154,10168) = ( 10154 × 10168) / 2
LCM(10154,10168) = 103245872 / 2
LCM(10154,10168) = 51622936

Least Common Multiple (LCM) of 10154 and 10168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10154 and 10168. First we will calculate the prime factors of 10154 and 10168.

Prime Factorization of 10154

Prime factors of 10154 are 2, 5077. Prime factorization of 10154 in exponential form is:

10154 = 21 × 50771

Prime Factorization of 10168

Prime factors of 10168 are 2, 31, 41. Prime factorization of 10168 in exponential form is:

10168 = 23 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10154 and 10168.

LCM(10154,10168) = 23 × 50771 × 311 × 411
LCM(10154,10168) = 51622936