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What is the Least Common Multiple of 47867 and 47879?

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 47867 and 47879 is 2291824093.

LCM(47867,47879) = 2291824093

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Least Common Multiple of 47867 and 47879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47867 and 47879, than apply into the LCM equation.

GCF(47867,47879) = 1
LCM(47867,47879) = ( 47867 × 47879) / 1
LCM(47867,47879) = 2291824093 / 1
LCM(47867,47879) = 2291824093

Least Common Multiple (LCM) of 47867 and 47879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47867 and 47879. First we will calculate the prime factors of 47867 and 47879.

Prime Factorization of 47867

Prime factors of 47867 are 151, 317. Prime factorization of 47867 in exponential form is:

47867 = 1511 × 3171

Prime Factorization of 47879

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

47879 = 131 × 291 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 47867 and 47879.

LCM(47867,47879) = 1511 × 3171 × 131 × 291 × 1271
LCM(47867,47879) = 2291824093