What is the Least Common Multiple of 47067 and 47083?
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 47067 and 47083 is 2216055561.
LCM(47067,47083) = 2216055561
Least Common Multiple of 47067 and 47083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47067 and 47083, than apply into the LCM equation.
GCF(47067,47083) = 1
LCM(47067,47083) = ( 47067 × 47083) / 1
LCM(47067,47083) = 2216055561 / 1
LCM(47067,47083) = 2216055561
Least Common Multiple (LCM) of 47067 and 47083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47067 and 47083. First we will calculate the prime factors of 47067 and 47083.
Prime Factorization of 47067
Prime factors of 47067 are 3, 29, 541. Prime factorization of 47067 in exponential form is:
47067 = 31 × 291 × 5411
Prime Factorization of 47083
Prime factors of 47083 are 197, 239. Prime factorization of 47083 in exponential form is:
47083 = 1971 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 47067 and 47083.
LCM(47067,47083) = 31 × 291 × 5411 × 1971 × 2391
LCM(47067,47083) = 2216055561
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