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What is the Least Common Multiple of 5160 and 5166?

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 5166 is 4442760.

LCM(5160,5166) = 4442760

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Least Common Multiple of 5160 and 5166 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 5166, than apply into the LCM equation.

GCF(5160,5166) = 6
LCM(5160,5166) = ( 5160 × 5166) / 6
LCM(5160,5166) = 26656560 / 6
LCM(5160,5166) = 4442760

Least Common Multiple (LCM) of 5160 and 5166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5160 and 5166. First we will calculate the prime factors of 5160 and 5166.

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 5166

Prime factors of 5166 are 2, 3, 7, 41. Prime factorization of 5166 in exponential form is:

5166 = 21 × 32 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 5160 and 5166.

LCM(5160,5166) = 23 × 32 × 51 × 431 × 71 × 411
LCM(5160,5166) = 4442760