What is the Least Common Multiple of 29083 and 29103?
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 29083 and 29103 is 846402549.
LCM(29083,29103) = 846402549
Least Common Multiple of 29083 and 29103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29083 and 29103, than apply into the LCM equation.
GCF(29083,29103) = 1
LCM(29083,29103) = ( 29083 × 29103) / 1
LCM(29083,29103) = 846402549 / 1
LCM(29083,29103) = 846402549
Least Common Multiple (LCM) of 29083 and 29103 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29083 and 29103. First we will calculate the prime factors of 29083 and 29103.
Prime Factorization of 29083
Prime factors of 29083 are 127, 229. Prime factorization of 29083 in exponential form is:
29083 = 1271 × 2291
Prime Factorization of 29103
Prime factors of 29103 are 3, 89, 109. Prime factorization of 29103 in exponential form is:
29103 = 31 × 891 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 29083 and 29103.
LCM(29083,29103) = 1271 × 2291 × 31 × 891 × 1091
LCM(29083,29103) = 846402549
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