What is the Least Common Multiple of 44901 and 44906?
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 44901 and 44906 is 2016324306.
LCM(44901,44906) = 2016324306
Least Common Multiple of 44901 and 44906 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44901 and 44906, than apply into the LCM equation.
GCF(44901,44906) = 1
LCM(44901,44906) = ( 44901 × 44906) / 1
LCM(44901,44906) = 2016324306 / 1
LCM(44901,44906) = 2016324306
Least Common Multiple (LCM) of 44901 and 44906 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44901 and 44906. First we will calculate the prime factors of 44901 and 44906.
Prime Factorization of 44901
Prime factors of 44901 are 3, 1663. Prime factorization of 44901 in exponential form is:
44901 = 33 × 16631
Prime Factorization of 44906
Prime factors of 44906 are 2, 22453. Prime factorization of 44906 in exponential form is:
44906 = 21 × 224531
Now multiplying the highest exponent prime factors to calculate the LCM of 44901 and 44906.
LCM(44901,44906) = 33 × 16631 × 21 × 224531
LCM(44901,44906) = 2016324306
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