What is the Least Common Multiple of 44906 and 44913?
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 44906 and 44913 is 2016863178.
LCM(44906,44913) = 2016863178
Least Common Multiple of 44906 and 44913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44906 and 44913, than apply into the LCM equation.
GCF(44906,44913) = 1
LCM(44906,44913) = ( 44906 × 44913) / 1
LCM(44906,44913) = 2016863178 / 1
LCM(44906,44913) = 2016863178
Least Common Multiple (LCM) of 44906 and 44913 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44906 and 44913. First we will calculate the prime factors of 44906 and 44913.
Prime Factorization of 44906
Prime factors of 44906 are 2, 22453. Prime factorization of 44906 in exponential form is:
44906 = 21 × 224531
Prime Factorization of 44913
Prime factors of 44913 are 3, 11, 1361. Prime factorization of 44913 in exponential form is:
44913 = 31 × 111 × 13611
Now multiplying the highest exponent prime factors to calculate the LCM of 44906 and 44913.
LCM(44906,44913) = 21 × 224531 × 31 × 111 × 13611
LCM(44906,44913) = 2016863178
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