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What is the Least Common Multiple of 28737 and 28752?

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 28737 and 28752 is 275415408.

LCM(28737,28752) = 275415408

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Least Common Multiple of 28737 and 28752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28737 and 28752, than apply into the LCM equation.

GCF(28737,28752) = 3
LCM(28737,28752) = ( 28737 × 28752) / 3
LCM(28737,28752) = 826246224 / 3
LCM(28737,28752) = 275415408

Least Common Multiple (LCM) of 28737 and 28752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28737 and 28752. First we will calculate the prime factors of 28737 and 28752.

Prime Factorization of 28737

Prime factors of 28737 are 3, 31, 103. Prime factorization of 28737 in exponential form is:

28737 = 32 × 311 × 1031

Prime Factorization of 28752

Prime factors of 28752 are 2, 3, 599. Prime factorization of 28752 in exponential form is:

28752 = 24 × 31 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 28737 and 28752.

LCM(28737,28752) = 32 × 311 × 1031 × 24 × 5991
LCM(28737,28752) = 275415408