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What is the Least Common Multiple of 13147 and 13154?

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 13147 and 13154 is 172935638.

LCM(13147,13154) = 172935638

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Least Common Multiple of 13147 and 13154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13147 and 13154, than apply into the LCM equation.

GCF(13147,13154) = 1
LCM(13147,13154) = ( 13147 × 13154) / 1
LCM(13147,13154) = 172935638 / 1
LCM(13147,13154) = 172935638

Least Common Multiple (LCM) of 13147 and 13154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13147 and 13154. First we will calculate the prime factors of 13147 and 13154.

Prime Factorization of 13147

Prime factors of 13147 are 13147. Prime factorization of 13147 in exponential form is:

13147 = 131471

Prime Factorization of 13154

Prime factors of 13154 are 2, 6577. Prime factorization of 13154 in exponential form is:

13154 = 21 × 65771

Now multiplying the highest exponent prime factors to calculate the LCM of 13147 and 13154.

LCM(13147,13154) = 131471 × 21 × 65771
LCM(13147,13154) = 172935638