What is the Least Common Multiple of 8503 and 8519?
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 8503 and 8519 is 72437057.
LCM(8503,8519) = 72437057
Least Common Multiple of 8503 and 8519 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8503 and 8519, than apply into the LCM equation.
GCF(8503,8519) = 1
LCM(8503,8519) = ( 8503 × 8519) / 1
LCM(8503,8519) = 72437057 / 1
LCM(8503,8519) = 72437057
Least Common Multiple (LCM) of 8503 and 8519 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8503 and 8519. First we will calculate the prime factors of 8503 and 8519.
Prime Factorization of 8503
Prime factors of 8503 are 11, 773. Prime factorization of 8503 in exponential form is:
8503 = 111 × 7731
Prime Factorization of 8519
Prime factors of 8519 are 7, 1217. Prime factorization of 8519 in exponential form is:
8519 = 71 × 12171
Now multiplying the highest exponent prime factors to calculate the LCM of 8503 and 8519.
LCM(8503,8519) = 111 × 7731 × 71 × 12171
LCM(8503,8519) = 72437057
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