What is the Least Common Multiple of 44831 and 44836?
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 44831 and 44836 is 2010042716.
LCM(44831,44836) = 2010042716
Least Common Multiple of 44831 and 44836 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44831 and 44836, than apply into the LCM equation.
GCF(44831,44836) = 1
LCM(44831,44836) = ( 44831 × 44836) / 1
LCM(44831,44836) = 2010042716 / 1
LCM(44831,44836) = 2010042716
Least Common Multiple (LCM) of 44831 and 44836 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44831 and 44836. First we will calculate the prime factors of 44831 and 44836.
Prime Factorization of 44831
Prime factors of 44831 are 127, 353. Prime factorization of 44831 in exponential form is:
44831 = 1271 × 3531
Prime Factorization of 44836
Prime factors of 44836 are 2, 11, 1019. Prime factorization of 44836 in exponential form is:
44836 = 22 × 111 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 44831 and 44836.
LCM(44831,44836) = 1271 × 3531 × 22 × 111 × 10191
LCM(44831,44836) = 2010042716
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