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What is the Least Common Multiple of 47879 and 47887?

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 47879 and 47887 is 2292781673.

LCM(47879,47887) = 2292781673

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Least Common Multiple of 47879 and 47887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47879 and 47887, than apply into the LCM equation.

GCF(47879,47887) = 1
LCM(47879,47887) = ( 47879 × 47887) / 1
LCM(47879,47887) = 2292781673 / 1
LCM(47879,47887) = 2292781673

Least Common Multiple (LCM) of 47879 and 47887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47879 and 47887. First we will calculate the prime factors of 47879 and 47887.

Prime Factorization of 47879

Prime factors of 47879 are 13, 29, 127. Prime factorization of 47879 in exponential form is:

47879 = 131 × 291 × 1271

Prime Factorization of 47887

Prime factors of 47887 are 7, 6841. Prime factorization of 47887 in exponential form is:

47887 = 71 × 68411

Now multiplying the highest exponent prime factors to calculate the LCM of 47879 and 47887.

LCM(47879,47887) = 131 × 291 × 1271 × 71 × 68411
LCM(47879,47887) = 2292781673