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What is the Least Common Multiple of 47885 and 47893?

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 47885 and 47893 is 2293356305.

LCM(47885,47893) = 2293356305

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Least Common Multiple of 47885 and 47893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47885 and 47893, than apply into the LCM equation.

GCF(47885,47893) = 1
LCM(47885,47893) = ( 47885 × 47893) / 1
LCM(47885,47893) = 2293356305 / 1
LCM(47885,47893) = 2293356305

Least Common Multiple (LCM) of 47885 and 47893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47885 and 47893. First we will calculate the prime factors of 47885 and 47893.

Prime Factorization of 47885

Prime factors of 47885 are 5, 61, 157. Prime factorization of 47885 in exponential form is:

47885 = 51 × 611 × 1571

Prime Factorization of 47893

Prime factors of 47893 are 47, 1019. Prime factorization of 47893 in exponential form is:

47893 = 471 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 47885 and 47893.

LCM(47885,47893) = 51 × 611 × 1571 × 471 × 10191
LCM(47885,47893) = 2293356305