What is the Least Common Multiple of 4443 and 4452?
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 4452 is 6593412.
LCM(4443,4452) = 6593412
Least Common Multiple of 4443 and 4452 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 4452, than apply into the LCM equation.
GCF(4443,4452) = 3
LCM(4443,4452) = ( 4443 × 4452) / 3
LCM(4443,4452) = 19780236 / 3
LCM(4443,4452) = 6593412
Least Common Multiple (LCM) of 4443 and 4452 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4443 and 4452. First we will calculate the prime factors of 4443 and 4452.
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 4452
Prime factors of 4452 are 2, 3, 7, 53. Prime factorization of 4452 in exponential form is:
4452 = 22 × 31 × 71 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 4443 and 4452.
LCM(4443,4452) = 31 × 14811 × 22 × 71 × 531
LCM(4443,4452) = 6593412
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