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What is the Least Common Multiple of 5130 and 5141?

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 5130 and 5141 is 26373330.

LCM(5130,5141) = 26373330

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Least Common Multiple of 5130 and 5141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5130 and 5141, than apply into the LCM equation.

GCF(5130,5141) = 1
LCM(5130,5141) = ( 5130 × 5141) / 1
LCM(5130,5141) = 26373330 / 1
LCM(5130,5141) = 26373330

Least Common Multiple (LCM) of 5130 and 5141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5130 and 5141. First we will calculate the prime factors of 5130 and 5141.

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

Prime Factorization of 5141

Prime factors of 5141 are 53, 97. Prime factorization of 5141 in exponential form is:

5141 = 531 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 5130 and 5141.

LCM(5130,5141) = 21 × 33 × 51 × 191 × 531 × 971
LCM(5130,5141) = 26373330