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What is the Least Common Multiple of 5060 and 5069?

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 5060 and 5069 is 25649140.

LCM(5060,5069) = 25649140

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Least Common Multiple of 5060 and 5069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5060 and 5069, than apply into the LCM equation.

GCF(5060,5069) = 1
LCM(5060,5069) = ( 5060 × 5069) / 1
LCM(5060,5069) = 25649140 / 1
LCM(5060,5069) = 25649140

Least Common Multiple (LCM) of 5060 and 5069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5060 and 5069. First we will calculate the prime factors of 5060 and 5069.

Prime Factorization of 5060

Prime factors of 5060 are 2, 5, 11, 23. Prime factorization of 5060 in exponential form is:

5060 = 22 × 51 × 111 × 231

Prime Factorization of 5069

Prime factors of 5069 are 37, 137. Prime factorization of 5069 in exponential form is:

5069 = 371 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5060 and 5069.

LCM(5060,5069) = 22 × 51 × 111 × 231 × 371 × 1371
LCM(5060,5069) = 25649140