What is the Least Common Multiple of 4439 and 4449?
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 4439 and 4449 is 19749111.
LCM(4439,4449) = 19749111
Least Common Multiple of 4439 and 4449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4439 and 4449, than apply into the LCM equation.
GCF(4439,4449) = 1
LCM(4439,4449) = ( 4439 × 4449) / 1
LCM(4439,4449) = 19749111 / 1
LCM(4439,4449) = 19749111
Least Common Multiple (LCM) of 4439 and 4449 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4439 and 4449. First we will calculate the prime factors of 4439 and 4449.
Prime Factorization of 4439
Prime factors of 4439 are 23, 193. Prime factorization of 4439 in exponential form is:
4439 = 231 × 1931
Prime Factorization of 4449
Prime factors of 4449 are 3, 1483. Prime factorization of 4449 in exponential form is:
4449 = 31 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 4439 and 4449.
LCM(4439,4449) = 231 × 1931 × 31 × 14831
LCM(4439,4449) = 19749111
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