What is the Least Common Multiple of 53503 and 53511?
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 53503 and 53511 is 2862999033.
LCM(53503,53511) = 2862999033
Least Common Multiple of 53503 and 53511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53503 and 53511, than apply into the LCM equation.
GCF(53503,53511) = 1
LCM(53503,53511) = ( 53503 × 53511) / 1
LCM(53503,53511) = 2862999033 / 1
LCM(53503,53511) = 2862999033
Least Common Multiple (LCM) of 53503 and 53511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53503 and 53511. First we will calculate the prime factors of 53503 and 53511.
Prime Factorization of 53503
Prime factors of 53503 are 53503. Prime factorization of 53503 in exponential form is:
53503 = 535031
Prime Factorization of 53511
Prime factors of 53511 are 3, 17837. Prime factorization of 53511 in exponential form is:
53511 = 31 × 178371
Now multiplying the highest exponent prime factors to calculate the LCM of 53503 and 53511.
LCM(53503,53511) = 535031 × 31 × 178371
LCM(53503,53511) = 2862999033
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