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What is the Least Common Multiple of 5069 and 5085?

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 5069 and 5085 is 25775865.

LCM(5069,5085) = 25775865

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Least Common Multiple of 5069 and 5085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5069 and 5085, than apply into the LCM equation.

GCF(5069,5085) = 1
LCM(5069,5085) = ( 5069 × 5085) / 1
LCM(5069,5085) = 25775865 / 1
LCM(5069,5085) = 25775865

Least Common Multiple (LCM) of 5069 and 5085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5069 and 5085. First we will calculate the prime factors of 5069 and 5085.

Prime Factorization of 5069

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

5069 = 371 × 1371

Prime Factorization of 5085

Prime factors of 5085 are 3, 5, 113. Prime factorization of 5085 in exponential form is:

5085 = 32 × 51 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5069 and 5085.

LCM(5069,5085) = 371 × 1371 × 32 × 51 × 1131
LCM(5069,5085) = 25775865