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What is the Least Common Multiple of 28752 and 28763?

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 28752 and 28763 is 826993776.

LCM(28752,28763) = 826993776

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Least Common Multiple of 28752 and 28763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28752 and 28763, than apply into the LCM equation.

GCF(28752,28763) = 1
LCM(28752,28763) = ( 28752 × 28763) / 1
LCM(28752,28763) = 826993776 / 1
LCM(28752,28763) = 826993776

Least Common Multiple (LCM) of 28752 and 28763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28752 and 28763. First we will calculate the prime factors of 28752 and 28763.

Prime Factorization of 28752

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

28752 = 24 × 31 × 5991

Prime Factorization of 28763

Prime factors of 28763 are 7, 587. Prime factorization of 28763 in exponential form is:

28763 = 72 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 28752 and 28763.

LCM(28752,28763) = 24 × 31 × 5991 × 72 × 5871
LCM(28752,28763) = 826993776