What is the Least Common Multiple of 44817 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 44817 and 44837 is 2009459829.
LCM(44817,44837) = 2009459829
Least Common Multiple of 44817 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 44817 and 44837, than apply into the LCM equation.
GCF(44817,44837) = 1
LCM(44817,44837) = ( 44817 × 44837) / 1
LCM(44817,44837) = 2009459829 / 1
LCM(44817,44837) = 2009459829
Least Common Multiple (LCM) of 44817 and 44837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44817 and 44837. First we will calculate the prime factors of 44817 and 44837.
Prime Factorization of 44817
Prime factors of 44817 are 3, 14939. Prime factorization of 44817 in exponential form is:
44817 = 31 × 149391
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 44817 and 44837.
LCM(44817,44837) = 31 × 149391 × 131 × 34491
LCM(44817,44837) = 2009459829
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