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What is the Least Common Multiple of 47881 and 47898?

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 47881 and 47898 is 2293404138.

LCM(47881,47898) = 2293404138

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Least Common Multiple of 47881 and 47898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47881 and 47898, than apply into the LCM equation.

GCF(47881,47898) = 1
LCM(47881,47898) = ( 47881 × 47898) / 1
LCM(47881,47898) = 2293404138 / 1
LCM(47881,47898) = 2293404138

Least Common Multiple (LCM) of 47881 and 47898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47881 and 47898. First we will calculate the prime factors of 47881 and 47898.

Prime Factorization of 47881

Prime factors of 47881 are 47881. Prime factorization of 47881 in exponential form is:

47881 = 478811

Prime Factorization of 47898

Prime factors of 47898 are 2, 3, 887. Prime factorization of 47898 in exponential form is:

47898 = 21 × 33 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 47881 and 47898.

LCM(47881,47898) = 478811 × 21 × 33 × 8871
LCM(47881,47898) = 2293404138