What is the Least Common Multiple of 47083 and 47103?
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 47083 and 47103 is 2217750549.
LCM(47083,47103) = 2217750549
Least Common Multiple of 47083 and 47103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47083 and 47103, than apply into the LCM equation.
GCF(47083,47103) = 1
LCM(47083,47103) = ( 47083 × 47103) / 1
LCM(47083,47103) = 2217750549 / 1
LCM(47083,47103) = 2217750549
Least Common Multiple (LCM) of 47083 and 47103 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47083 and 47103. First we will calculate the prime factors of 47083 and 47103.
Prime Factorization of 47083
Prime factors of 47083 are 197, 239. Prime factorization of 47083 in exponential form is:
47083 = 1971 × 2391
Prime Factorization of 47103
Prime factors of 47103 are 3, 7, 2243. Prime factorization of 47103 in exponential form is:
47103 = 31 × 71 × 22431
Now multiplying the highest exponent prime factors to calculate the LCM of 47083 and 47103.
LCM(47083,47103) = 1971 × 2391 × 31 × 71 × 22431
LCM(47083,47103) = 2217750549
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