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What is the Least Common Multiple of 51334 and 51340?

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 51334 and 51340 is 1317743780.

LCM(51334,51340) = 1317743780

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Least Common Multiple of 51334 and 51340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51334 and 51340, than apply into the LCM equation.

GCF(51334,51340) = 2
LCM(51334,51340) = ( 51334 × 51340) / 2
LCM(51334,51340) = 2635487560 / 2
LCM(51334,51340) = 1317743780

Least Common Multiple (LCM) of 51334 and 51340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51334 and 51340. First we will calculate the prime factors of 51334 and 51340.

Prime Factorization of 51334

Prime factors of 51334 are 2, 25667. Prime factorization of 51334 in exponential form is:

51334 = 21 × 256671

Prime Factorization of 51340

Prime factors of 51340 are 2, 5, 17, 151. Prime factorization of 51340 in exponential form is:

51340 = 22 × 51 × 171 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 51334 and 51340.

LCM(51334,51340) = 22 × 256671 × 51 × 171 × 1511
LCM(51334,51340) = 1317743780