What is the Least Common Multiple of 44411 and 44426?
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 44411 and 44426 is 1973003086.
LCM(44411,44426) = 1973003086
Least Common Multiple of 44411 and 44426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44411 and 44426, than apply into the LCM equation.
GCF(44411,44426) = 1
LCM(44411,44426) = ( 44411 × 44426) / 1
LCM(44411,44426) = 1973003086 / 1
LCM(44411,44426) = 1973003086
Least Common Multiple (LCM) of 44411 and 44426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44411 and 44426. First we will calculate the prime factors of 44411 and 44426.
Prime Factorization of 44411
Prime factors of 44411 are 89, 499. Prime factorization of 44411 in exponential form is:
44411 = 891 × 4991
Prime Factorization of 44426
Prime factors of 44426 are 2, 97, 229. Prime factorization of 44426 in exponential form is:
44426 = 21 × 971 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 44411 and 44426.
LCM(44411,44426) = 891 × 4991 × 21 × 971 × 2291
LCM(44411,44426) = 1973003086
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