What is the Least Common Multiple of 44504 and 44517?
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 44504 and 44517 is 1981184568.
LCM(44504,44517) = 1981184568
Least Common Multiple of 44504 and 44517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44504 and 44517, than apply into the LCM equation.
GCF(44504,44517) = 1
LCM(44504,44517) = ( 44504 × 44517) / 1
LCM(44504,44517) = 1981184568 / 1
LCM(44504,44517) = 1981184568
Least Common Multiple (LCM) of 44504 and 44517 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44504 and 44517. First we will calculate the prime factors of 44504 and 44517.
Prime Factorization of 44504
Prime factors of 44504 are 2, 5563. Prime factorization of 44504 in exponential form is:
44504 = 23 × 55631
Prime Factorization of 44517
Prime factors of 44517 are 3, 11, 19, 71. Prime factorization of 44517 in exponential form is:
44517 = 31 × 111 × 191 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 44504 and 44517.
LCM(44504,44517) = 23 × 55631 × 31 × 111 × 191 × 711
LCM(44504,44517) = 1981184568
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