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What is the Least Common Multiple of 28024 and 28043?

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 28024 and 28043 is 785877032.

LCM(28024,28043) = 785877032

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Least Common Multiple of 28024 and 28043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28024 and 28043, than apply into the LCM equation.

GCF(28024,28043) = 1
LCM(28024,28043) = ( 28024 × 28043) / 1
LCM(28024,28043) = 785877032 / 1
LCM(28024,28043) = 785877032

Least Common Multiple (LCM) of 28024 and 28043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28024 and 28043. First we will calculate the prime factors of 28024 and 28043.

Prime Factorization of 28024

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

28024 = 23 × 311 × 1131

Prime Factorization of 28043

Prime factors of 28043 are 29, 967. Prime factorization of 28043 in exponential form is:

28043 = 291 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 28024 and 28043.

LCM(28024,28043) = 23 × 311 × 1131 × 291 × 9671
LCM(28024,28043) = 785877032