What is the Least Common Multiple of 44861 and 44865?
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 44861 and 44865 is 2012688765.
LCM(44861,44865) = 2012688765
Least Common Multiple of 44861 and 44865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44861 and 44865, than apply into the LCM equation.
GCF(44861,44865) = 1
LCM(44861,44865) = ( 44861 × 44865) / 1
LCM(44861,44865) = 2012688765 / 1
LCM(44861,44865) = 2012688765
Least Common Multiple (LCM) of 44861 and 44865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44861 and 44865. First we will calculate the prime factors of 44861 and 44865.
Prime Factorization of 44861
Prime factors of 44861 are 113, 397. Prime factorization of 44861 in exponential form is:
44861 = 1131 × 3971
Prime Factorization of 44865
Prime factors of 44865 are 3, 5, 997. Prime factorization of 44865 in exponential form is:
44865 = 32 × 51 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 44861 and 44865.
LCM(44861,44865) = 1131 × 3971 × 32 × 51 × 9971
LCM(44861,44865) = 2012688765
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