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What is the Least Common Multiple of 28015 and 28024?

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 28015 and 28024 is 785092360.

LCM(28015,28024) = 785092360

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Least Common Multiple of 28015 and 28024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28015 and 28024, than apply into the LCM equation.

GCF(28015,28024) = 1
LCM(28015,28024) = ( 28015 × 28024) / 1
LCM(28015,28024) = 785092360 / 1
LCM(28015,28024) = 785092360

Least Common Multiple (LCM) of 28015 and 28024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28015 and 28024. First we will calculate the prime factors of 28015 and 28024.

Prime Factorization of 28015

Prime factors of 28015 are 5, 13, 431. Prime factorization of 28015 in exponential form is:

28015 = 51 × 131 × 4311

Prime Factorization of 28024

Prime factors of 28024 are 2, 31, 113. Prime factorization of 28024 in exponential form is:

28024 = 23 × 311 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 28015 and 28024.

LCM(28015,28024) = 51 × 131 × 4311 × 23 × 311 × 1131
LCM(28015,28024) = 785092360