What is the Least Common Multiple of 44790 and 44794?
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 44790 and 44794 is 1003161630.
LCM(44790,44794) = 1003161630
Least Common Multiple of 44790 and 44794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44790 and 44794, than apply into the LCM equation.
GCF(44790,44794) = 2
LCM(44790,44794) = ( 44790 × 44794) / 2
LCM(44790,44794) = 2006323260 / 2
LCM(44790,44794) = 1003161630
Least Common Multiple (LCM) of 44790 and 44794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44790 and 44794. First we will calculate the prime factors of 44790 and 44794.
Prime Factorization of 44790
Prime factors of 44790 are 2, 3, 5, 1493. Prime factorization of 44790 in exponential form is:
44790 = 21 × 31 × 51 × 14931
Prime Factorization of 44794
Prime factors of 44794 are 2, 22397. Prime factorization of 44794 in exponential form is:
44794 = 21 × 223971
Now multiplying the highest exponent prime factors to calculate the LCM of 44790 and 44794.
LCM(44790,44794) = 21 × 31 × 51 × 14931 × 223971
LCM(44790,44794) = 1003161630
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