What is the Least Common Multiple of 47485 and 47501?
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 47485 and 47501 is 2255584985.
LCM(47485,47501) = 2255584985
Least Common Multiple of 47485 and 47501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47485 and 47501, than apply into the LCM equation.
GCF(47485,47501) = 1
LCM(47485,47501) = ( 47485 × 47501) / 1
LCM(47485,47501) = 2255584985 / 1
LCM(47485,47501) = 2255584985
Least Common Multiple (LCM) of 47485 and 47501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47485 and 47501. First we will calculate the prime factors of 47485 and 47501.
Prime Factorization of 47485
Prime factors of 47485 are 5, 9497. Prime factorization of 47485 in exponential form is:
47485 = 51 × 94971
Prime Factorization of 47501
Prime factors of 47501 are 47501. Prime factorization of 47501 in exponential form is:
47501 = 475011
Now multiplying the highest exponent prime factors to calculate the LCM of 47485 and 47501.
LCM(47485,47501) = 51 × 94971 × 475011
LCM(47485,47501) = 2255584985
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