What is the Least Common Multiple of 44837 and 44853?
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 44837 and 44853 is 2011073961.
LCM(44837,44853) = 2011073961
Least Common Multiple of 44837 and 44853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44837 and 44853, than apply into the LCM equation.
GCF(44837,44853) = 1
LCM(44837,44853) = ( 44837 × 44853) / 1
LCM(44837,44853) = 2011073961 / 1
LCM(44837,44853) = 2011073961
Least Common Multiple (LCM) of 44837 and 44853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44837 and 44853. First we will calculate the prime factors of 44837 and 44853.
Prime Factorization of 44837
Prime factors of 44837 are 13, 3449. Prime factorization of 44837 in exponential form is:
44837 = 131 × 34491
Prime Factorization of 44853
Prime factors of 44853 are 3, 14951. Prime factorization of 44853 in exponential form is:
44853 = 31 × 149511
Now multiplying the highest exponent prime factors to calculate the LCM of 44837 and 44853.
LCM(44837,44853) = 131 × 34491 × 31 × 149511
LCM(44837,44853) = 2011073961
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