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What is the Least Common Multiple of 5033 and 5053?

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 5033 and 5053 is 25431749.

LCM(5033,5053) = 25431749

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Least Common Multiple of 5033 and 5053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5033 and 5053, than apply into the LCM equation.

GCF(5033,5053) = 1
LCM(5033,5053) = ( 5033 × 5053) / 1
LCM(5033,5053) = 25431749 / 1
LCM(5033,5053) = 25431749

Least Common Multiple (LCM) of 5033 and 5053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5033 and 5053. First we will calculate the prime factors of 5033 and 5053.

Prime Factorization of 5033

Prime factors of 5033 are 7, 719. Prime factorization of 5033 in exponential form is:

5033 = 71 × 7191

Prime Factorization of 5053

Prime factors of 5053 are 31, 163. Prime factorization of 5053 in exponential form is:

5053 = 311 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 5033 and 5053.

LCM(5033,5053) = 71 × 7191 × 311 × 1631
LCM(5033,5053) = 25431749