What is the Least Common Multiple of 44818 and 44833?
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 44818 and 44833 is 2009325394.
LCM(44818,44833) = 2009325394
Least Common Multiple of 44818 and 44833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44818 and 44833, than apply into the LCM equation.
GCF(44818,44833) = 1
LCM(44818,44833) = ( 44818 × 44833) / 1
LCM(44818,44833) = 2009325394 / 1
LCM(44818,44833) = 2009325394
Least Common Multiple (LCM) of 44818 and 44833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44818 and 44833. First we will calculate the prime factors of 44818 and 44833.
Prime Factorization of 44818
Prime factors of 44818 are 2, 22409. Prime factorization of 44818 in exponential form is:
44818 = 21 × 224091
Prime Factorization of 44833
Prime factors of 44833 are 107, 419. Prime factorization of 44833 in exponential form is:
44833 = 1071 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 44818 and 44833.
LCM(44818,44833) = 21 × 224091 × 1071 × 4191
LCM(44818,44833) = 2009325394
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