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What is the Least Common Multiple of 5160 and 5173?

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 5160 and 5173 is 26692680.

LCM(5160,5173) = 26692680

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Least Common Multiple of 5160 and 5173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5160 and 5173, than apply into the LCM equation.

GCF(5160,5173) = 1
LCM(5160,5173) = ( 5160 × 5173) / 1
LCM(5160,5173) = 26692680 / 1
LCM(5160,5173) = 26692680

Least Common Multiple (LCM) of 5160 and 5173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5160 and 5173. First we will calculate the prime factors of 5160 and 5173.

Prime Factorization of 5160

Prime factors of 5160 are 2, 3, 5, 43. Prime factorization of 5160 in exponential form is:

5160 = 23 × 31 × 51 × 431

Prime Factorization of 5173

Prime factors of 5173 are 7, 739. Prime factorization of 5173 in exponential form is:

5173 = 71 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 5160 and 5173.

LCM(5160,5173) = 23 × 31 × 51 × 431 × 71 × 7391
LCM(5160,5173) = 26692680