What is the Least Common Multiple of 4443 and 4447?
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 4443 and 4447 is 19758021.
LCM(4443,4447) = 19758021
Least Common Multiple of 4443 and 4447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4443 and 4447, than apply into the LCM equation.
GCF(4443,4447) = 1
LCM(4443,4447) = ( 4443 × 4447) / 1
LCM(4443,4447) = 19758021 / 1
LCM(4443,4447) = 19758021
Least Common Multiple (LCM) of 4443 and 4447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4443 and 4447. First we will calculate the prime factors of 4443 and 4447.
Prime Factorization of 4443
Prime factors of 4443 are 3, 1481. Prime factorization of 4443 in exponential form is:
4443 = 31 × 14811
Prime Factorization of 4447
Prime factors of 4447 are 4447. Prime factorization of 4447 in exponential form is:
4447 = 44471
Now multiplying the highest exponent prime factors to calculate the LCM of 4443 and 4447.
LCM(4443,4447) = 31 × 14811 × 44471
LCM(4443,4447) = 19758021
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