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What is the Least Common Multiple of 51733 and 51744?

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 51733 and 51744 is 243352032.

LCM(51733,51744) = 243352032

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Least Common Multiple of 51733 and 51744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51733 and 51744, than apply into the LCM equation.

GCF(51733,51744) = 11
LCM(51733,51744) = ( 51733 × 51744) / 11
LCM(51733,51744) = 2676872352 / 11
LCM(51733,51744) = 243352032

Least Common Multiple (LCM) of 51733 and 51744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51733 and 51744. First we will calculate the prime factors of 51733 and 51744.

Prime Factorization of 51733

Prime factors of 51733 are 11, 4703. Prime factorization of 51733 in exponential form is:

51733 = 111 × 47031

Prime Factorization of 51744

Prime factors of 51744 are 2, 3, 7, 11. Prime factorization of 51744 in exponential form is:

51744 = 25 × 31 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 51733 and 51744.

LCM(51733,51744) = 111 × 47031 × 25 × 31 × 72
LCM(51733,51744) = 243352032