What is the Least Common Multiple of 44818 and 44837?
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 44818 and 44837 is 2009504666.
LCM(44818,44837) = 2009504666
Least Common Multiple of 44818 and 44837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44818 and 44837, than apply into the LCM equation.
GCF(44818,44837) = 1
LCM(44818,44837) = ( 44818 × 44837) / 1
LCM(44818,44837) = 2009504666 / 1
LCM(44818,44837) = 2009504666
Least Common Multiple (LCM) of 44818 and 44837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44818 and 44837. First we will calculate the prime factors of 44818 and 44837.
Prime Factorization of 44818
Prime factors of 44818 are 2, 22409. Prime factorization of 44818 in exponential form is:
44818 = 21 × 224091
Prime Factorization of 44837
Prime factors of 44837 are 13, 3449. Prime factorization of 44837 in exponential form is:
44837 = 131 × 34491
Now multiplying the highest exponent prime factors to calculate the LCM of 44818 and 44837.
LCM(44818,44837) = 21 × 224091 × 131 × 34491
LCM(44818,44837) = 2009504666
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