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What is the Least Common Multiple of 51638 and 51645?

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 51638 and 51645 is 2666844510.

LCM(51638,51645) = 2666844510

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Least Common Multiple of 51638 and 51645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51638 and 51645, than apply into the LCM equation.

GCF(51638,51645) = 1
LCM(51638,51645) = ( 51638 × 51645) / 1
LCM(51638,51645) = 2666844510 / 1
LCM(51638,51645) = 2666844510

Least Common Multiple (LCM) of 51638 and 51645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51638 and 51645. First we will calculate the prime factors of 51638 and 51645.

Prime Factorization of 51638

Prime factors of 51638 are 2, 25819. Prime factorization of 51638 in exponential form is:

51638 = 21 × 258191

Prime Factorization of 51645

Prime factors of 51645 are 3, 5, 11, 313. Prime factorization of 51645 in exponential form is:

51645 = 31 × 51 × 111 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 51638 and 51645.

LCM(51638,51645) = 21 × 258191 × 31 × 51 × 111 × 3131
LCM(51638,51645) = 2666844510