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What is the Least Common Multiple of 28739 and 28744?

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 28739 and 28744 is 826073816.

LCM(28739,28744) = 826073816

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Least Common Multiple of 28739 and 28744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28739 and 28744, than apply into the LCM equation.

GCF(28739,28744) = 1
LCM(28739,28744) = ( 28739 × 28744) / 1
LCM(28739,28744) = 826073816 / 1
LCM(28739,28744) = 826073816

Least Common Multiple (LCM) of 28739 and 28744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28739 and 28744. First we will calculate the prime factors of 28739 and 28744.

Prime Factorization of 28739

Prime factors of 28739 are 29, 991. Prime factorization of 28739 in exponential form is:

28739 = 291 × 9911

Prime Factorization of 28744

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

28744 = 23 × 35931

Now multiplying the highest exponent prime factors to calculate the LCM of 28739 and 28744.

LCM(28739,28744) = 291 × 9911 × 23 × 35931
LCM(28739,28744) = 826073816