What is the Least Common Multiple of 4499 and 4517?
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 4499 and 4517 is 20321983.
LCM(4499,4517) = 20321983
Least Common Multiple of 4499 and 4517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4499 and 4517, than apply into the LCM equation.
GCF(4499,4517) = 1
LCM(4499,4517) = ( 4499 × 4517) / 1
LCM(4499,4517) = 20321983 / 1
LCM(4499,4517) = 20321983
Least Common Multiple (LCM) of 4499 and 4517 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4499 and 4517. First we will calculate the prime factors of 4499 and 4517.
Prime Factorization of 4499
Prime factors of 4499 are 11, 409. Prime factorization of 4499 in exponential form is:
4499 = 111 × 4091
Prime Factorization of 4517
Prime factors of 4517 are 4517. Prime factorization of 4517 in exponential form is:
4517 = 45171
Now multiplying the highest exponent prime factors to calculate the LCM of 4499 and 4517.
LCM(4499,4517) = 111 × 4091 × 45171
LCM(4499,4517) = 20321983
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