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What is the Least Common Multiple of 5121 and 5130?

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 5121 and 5130 is 2918970.

LCM(5121,5130) = 2918970

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Least Common Multiple of 5121 and 5130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5121 and 5130, than apply into the LCM equation.

GCF(5121,5130) = 9
LCM(5121,5130) = ( 5121 × 5130) / 9
LCM(5121,5130) = 26270730 / 9
LCM(5121,5130) = 2918970

Least Common Multiple (LCM) of 5121 and 5130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5121 and 5130. First we will calculate the prime factors of 5121 and 5130.

Prime Factorization of 5121

Prime factors of 5121 are 3, 569. Prime factorization of 5121 in exponential form is:

5121 = 32 × 5691

Prime Factorization of 5130

Prime factors of 5130 are 2, 3, 5, 19. Prime factorization of 5130 in exponential form is:

5130 = 21 × 33 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 5121 and 5130.

LCM(5121,5130) = 33 × 5691 × 21 × 51 × 191
LCM(5121,5130) = 2918970