What is the Least Common Multiple of 44841 and 44846?
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 44841 and 44846 is 2010939486.
LCM(44841,44846) = 2010939486
Least Common Multiple of 44841 and 44846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44841 and 44846, than apply into the LCM equation.
GCF(44841,44846) = 1
LCM(44841,44846) = ( 44841 × 44846) / 1
LCM(44841,44846) = 2010939486 / 1
LCM(44841,44846) = 2010939486
Least Common Multiple (LCM) of 44841 and 44846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44841 and 44846. First we will calculate the prime factors of 44841 and 44846.
Prime Factorization of 44841
Prime factors of 44841 are 3, 14947. Prime factorization of 44841 in exponential form is:
44841 = 31 × 149471
Prime Factorization of 44846
Prime factors of 44846 are 2, 17, 1319. Prime factorization of 44846 in exponential form is:
44846 = 21 × 171 × 13191
Now multiplying the highest exponent prime factors to calculate the LCM of 44841 and 44846.
LCM(44841,44846) = 31 × 149471 × 21 × 171 × 13191
LCM(44841,44846) = 2010939486
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