What is the Least Common Multiple of 47504 and 47515?
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 47504 and 47515 is 2257152560.
LCM(47504,47515) = 2257152560
Least Common Multiple of 47504 and 47515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47504 and 47515, than apply into the LCM equation.
GCF(47504,47515) = 1
LCM(47504,47515) = ( 47504 × 47515) / 1
LCM(47504,47515) = 2257152560 / 1
LCM(47504,47515) = 2257152560
Least Common Multiple (LCM) of 47504 and 47515 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47504 and 47515. First we will calculate the prime factors of 47504 and 47515.
Prime Factorization of 47504
Prime factors of 47504 are 2, 2969. Prime factorization of 47504 in exponential form is:
47504 = 24 × 29691
Prime Factorization of 47515
Prime factors of 47515 are 5, 13, 17, 43. Prime factorization of 47515 in exponential form is:
47515 = 51 × 131 × 171 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 47504 and 47515.
LCM(47504,47515) = 24 × 29691 × 51 × 131 × 171 × 431
LCM(47504,47515) = 2257152560
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