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What is the Least Common Multiple of 5133 and 5151?

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 5133 and 5151 is 8813361.

LCM(5133,5151) = 8813361

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Least Common Multiple of 5133 and 5151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5133 and 5151, than apply into the LCM equation.

GCF(5133,5151) = 3
LCM(5133,5151) = ( 5133 × 5151) / 3
LCM(5133,5151) = 26440083 / 3
LCM(5133,5151) = 8813361

Least Common Multiple (LCM) of 5133 and 5151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5133 and 5151. First we will calculate the prime factors of 5133 and 5151.

Prime Factorization of 5133

Prime factors of 5133 are 3, 29, 59. Prime factorization of 5133 in exponential form is:

5133 = 31 × 291 × 591

Prime Factorization of 5151

Prime factors of 5151 are 3, 17, 101. Prime factorization of 5151 in exponential form is:

5151 = 31 × 171 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5133 and 5151.

LCM(5133,5151) = 31 × 291 × 591 × 171 × 1011
LCM(5133,5151) = 8813361