What is the Least Common Multiple of 4439 and 4446?
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 4446 is 19735794.
LCM(4439,4446) = 19735794
Least Common Multiple of 4439 and 4446 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 4446, than apply into the LCM equation.
GCF(4439,4446) = 1
LCM(4439,4446) = ( 4439 × 4446) / 1
LCM(4439,4446) = 19735794 / 1
LCM(4439,4446) = 19735794
Least Common Multiple (LCM) of 4439 and 4446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4439 and 4446. First we will calculate the prime factors of 4439 and 4446.
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 4446
Prime factors of 4446 are 2, 3, 13, 19. Prime factorization of 4446 in exponential form is:
4446 = 21 × 32 × 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 4439 and 4446.
LCM(4439,4446) = 231 × 1931 × 21 × 32 × 131 × 191
LCM(4439,4446) = 19735794
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