What is the Least Common Multiple of 44836 and 44843?
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 44836 and 44843 is 2010580748.
LCM(44836,44843) = 2010580748
Least Common Multiple of 44836 and 44843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44836 and 44843, than apply into the LCM equation.
GCF(44836,44843) = 1
LCM(44836,44843) = ( 44836 × 44843) / 1
LCM(44836,44843) = 2010580748 / 1
LCM(44836,44843) = 2010580748
Least Common Multiple (LCM) of 44836 and 44843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44836 and 44843. First we will calculate the prime factors of 44836 and 44843.
Prime Factorization of 44836
Prime factors of 44836 are 2, 11, 1019. Prime factorization of 44836 in exponential form is:
44836 = 22 × 111 × 10191
Prime Factorization of 44843
Prime factors of 44843 are 44843. Prime factorization of 44843 in exponential form is:
44843 = 448431
Now multiplying the highest exponent prime factors to calculate the LCM of 44836 and 44843.
LCM(44836,44843) = 22 × 111 × 10191 × 448431
LCM(44836,44843) = 2010580748
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