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What is the Least Common Multiple of 28744 and 28749?

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 28744 and 28749 is 826361256.

LCM(28744,28749) = 826361256

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Least Common Multiple of 28744 and 28749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28744 and 28749, than apply into the LCM equation.

GCF(28744,28749) = 1
LCM(28744,28749) = ( 28744 × 28749) / 1
LCM(28744,28749) = 826361256 / 1
LCM(28744,28749) = 826361256

Least Common Multiple (LCM) of 28744 and 28749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28744 and 28749. First we will calculate the prime factors of 28744 and 28749.

Prime Factorization of 28744

Prime factors of 28744 are 2, 3593. Prime factorization of 28744 in exponential form is:

28744 = 23 × 35931

Prime Factorization of 28749

Prime factors of 28749 are 3, 7, 37. Prime factorization of 28749 in exponential form is:

28749 = 31 × 71 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 28744 and 28749.

LCM(28744,28749) = 23 × 35931 × 31 × 71 × 372
LCM(28744,28749) = 826361256