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What is the Least Common Multiple of 5865 and 5872?

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 5865 and 5872 is 34439280.

LCM(5865,5872) = 34439280

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Least Common Multiple of 5865 and 5872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5865 and 5872, than apply into the LCM equation.

GCF(5865,5872) = 1
LCM(5865,5872) = ( 5865 × 5872) / 1
LCM(5865,5872) = 34439280 / 1
LCM(5865,5872) = 34439280

Least Common Multiple (LCM) of 5865 and 5872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5865 and 5872. First we will calculate the prime factors of 5865 and 5872.

Prime Factorization of 5865

Prime factors of 5865 are 3, 5, 17, 23. Prime factorization of 5865 in exponential form is:

5865 = 31 × 51 × 171 × 231

Prime Factorization of 5872

Prime factors of 5872 are 2, 367. Prime factorization of 5872 in exponential form is:

5872 = 24 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 5865 and 5872.

LCM(5865,5872) = 31 × 51 × 171 × 231 × 24 × 3671
LCM(5865,5872) = 34439280