What is the Least Common Multiple of 29483 and 29503?
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 29483 and 29503 is 869836949.
LCM(29483,29503) = 869836949
Least Common Multiple of 29483 and 29503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29483 and 29503, than apply into the LCM equation.
GCF(29483,29503) = 1
LCM(29483,29503) = ( 29483 × 29503) / 1
LCM(29483,29503) = 869836949 / 1
LCM(29483,29503) = 869836949
Least Common Multiple (LCM) of 29483 and 29503 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29483 and 29503. First we will calculate the prime factors of 29483 and 29503.
Prime Factorization of 29483
Prime factors of 29483 are 29483. Prime factorization of 29483 in exponential form is:
29483 = 294831
Prime Factorization of 29503
Prime factors of 29503 are 163, 181. Prime factorization of 29503 in exponential form is:
29503 = 1631 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 29483 and 29503.
LCM(29483,29503) = 294831 × 1631 × 1811
LCM(29483,29503) = 869836949
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