What is the Least Common Multiple of 44326 and 44346?
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 44326 and 44346 is 982840398.
LCM(44326,44346) = 982840398
Least Common Multiple of 44326 and 44346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44326 and 44346, than apply into the LCM equation.
GCF(44326,44346) = 2
LCM(44326,44346) = ( 44326 × 44346) / 2
LCM(44326,44346) = 1965680796 / 2
LCM(44326,44346) = 982840398
Least Common Multiple (LCM) of 44326 and 44346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44326 and 44346. First we will calculate the prime factors of 44326 and 44346.
Prime Factorization of 44326
Prime factors of 44326 are 2, 37, 599. Prime factorization of 44326 in exponential form is:
44326 = 21 × 371 × 5991
Prime Factorization of 44346
Prime factors of 44346 are 2, 3, 19, 389. Prime factorization of 44346 in exponential form is:
44346 = 21 × 31 × 191 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 44326 and 44346.
LCM(44326,44346) = 21 × 371 × 5991 × 31 × 191 × 3891
LCM(44326,44346) = 982840398
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