What is the Least Common Multiple of 47863 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 47863 and 47879 is 2291632577.
LCM(47863,47879) = 2291632577
Least Common Multiple of 47863 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 47863 and 47879, than apply into the LCM equation.
GCF(47863,47879) = 1
LCM(47863,47879) = ( 47863 × 47879) / 1
LCM(47863,47879) = 2291632577 / 1
LCM(47863,47879) = 2291632577
Least Common Multiple (LCM) of 47863 and 47879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47863 and 47879. First we will calculate the prime factors of 47863 and 47879.
Prime Factorization of 47863
Prime factors of 47863 are 23, 2081. Prime factorization of 47863 in exponential form is:
47863 = 231 × 20811
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 47863 and 47879.
LCM(47863,47879) = 231 × 20811 × 131 × 291 × 1271
LCM(47863,47879) = 2291632577
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