What is the Least Common Multiple of 44828 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 44828 and 44845 is 2010311660.
LCM(44828,44845) = 2010311660
Least Common Multiple of 44828 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 44828 and 44845, than apply into the LCM equation.
GCF(44828,44845) = 1
LCM(44828,44845) = ( 44828 × 44845) / 1
LCM(44828,44845) = 2010311660 / 1
LCM(44828,44845) = 2010311660
Least Common Multiple (LCM) of 44828 and 44845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44828 and 44845. First we will calculate the prime factors of 44828 and 44845.
Prime Factorization of 44828
Prime factors of 44828 are 2, 7, 1601. Prime factorization of 44828 in exponential form is:
44828 = 22 × 71 × 16011
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 44828 and 44845.
LCM(44828,44845) = 22 × 71 × 16011 × 51 × 89691
LCM(44828,44845) = 2010311660
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