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What is the Least Common Multiple of 5148 and 5163?

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 5148 and 5163 is 8859708.

LCM(5148,5163) = 8859708

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Least Common Multiple of 5148 and 5163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5148 and 5163, than apply into the LCM equation.

GCF(5148,5163) = 3
LCM(5148,5163) = ( 5148 × 5163) / 3
LCM(5148,5163) = 26579124 / 3
LCM(5148,5163) = 8859708

Least Common Multiple (LCM) of 5148 and 5163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5148 and 5163. First we will calculate the prime factors of 5148 and 5163.

Prime Factorization of 5148

Prime factors of 5148 are 2, 3, 11, 13. Prime factorization of 5148 in exponential form is:

5148 = 22 × 32 × 111 × 131

Prime Factorization of 5163

Prime factors of 5163 are 3, 1721. Prime factorization of 5163 in exponential form is:

5163 = 31 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 5148 and 5163.

LCM(5148,5163) = 22 × 32 × 111 × 131 × 17211
LCM(5148,5163) = 8859708