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What is the Least Common Multiple of 5067 and 5072?

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 5067 and 5072 is 25699824.

LCM(5067,5072) = 25699824

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Least Common Multiple of 5067 and 5072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5067 and 5072, than apply into the LCM equation.

GCF(5067,5072) = 1
LCM(5067,5072) = ( 5067 × 5072) / 1
LCM(5067,5072) = 25699824 / 1
LCM(5067,5072) = 25699824

Least Common Multiple (LCM) of 5067 and 5072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5067 and 5072. First we will calculate the prime factors of 5067 and 5072.

Prime Factorization of 5067

Prime factors of 5067 are 3, 563. Prime factorization of 5067 in exponential form is:

5067 = 32 × 5631

Prime Factorization of 5072

Prime factors of 5072 are 2, 317. Prime factorization of 5072 in exponential form is:

5072 = 24 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 5067 and 5072.

LCM(5067,5072) = 32 × 5631 × 24 × 3171
LCM(5067,5072) = 25699824