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What is the Least Common Multiple of 51749 and 51756?

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 51749 and 51756 is 2678321244.

LCM(51749,51756) = 2678321244

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Least Common Multiple of 51749 and 51756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51749 and 51756, than apply into the LCM equation.

GCF(51749,51756) = 1
LCM(51749,51756) = ( 51749 × 51756) / 1
LCM(51749,51756) = 2678321244 / 1
LCM(51749,51756) = 2678321244

Least Common Multiple (LCM) of 51749 and 51756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51749 and 51756. First we will calculate the prime factors of 51749 and 51756.

Prime Factorization of 51749

Prime factors of 51749 are 51749. Prime factorization of 51749 in exponential form is:

51749 = 517491

Prime Factorization of 51756

Prime factors of 51756 are 2, 3, 19, 227. Prime factorization of 51756 in exponential form is:

51756 = 22 × 31 × 191 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 51749 and 51756.

LCM(51749,51756) = 517491 × 22 × 31 × 191 × 2271
LCM(51749,51756) = 2678321244