What is the Least Common Multiple of 44839 and 44845?
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 44839 and 44845 is 2010804955.
LCM(44839,44845) = 2010804955
Least Common Multiple of 44839 and 44845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44839 and 44845, than apply into the LCM equation.
GCF(44839,44845) = 1
LCM(44839,44845) = ( 44839 × 44845) / 1
LCM(44839,44845) = 2010804955 / 1
LCM(44839,44845) = 2010804955
Least Common Multiple (LCM) of 44839 and 44845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44839 and 44845. First we will calculate the prime factors of 44839 and 44845.
Prime Factorization of 44839
Prime factors of 44839 are 44839. Prime factorization of 44839 in exponential form is:
44839 = 448391
Prime Factorization of 44845
Prime factors of 44845 are 5, 8969. Prime factorization of 44845 in exponential form is:
44845 = 51 × 89691
Now multiplying the highest exponent prime factors to calculate the LCM of 44839 and 44845.
LCM(44839,44845) = 448391 × 51 × 89691
LCM(44839,44845) = 2010804955
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