What is the Least Common Multiple of 44879 and 44898?
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 44879 and 44898 is 2014977342.
LCM(44879,44898) = 2014977342
Least Common Multiple of 44879 and 44898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44879 and 44898, than apply into the LCM equation.
GCF(44879,44898) = 1
LCM(44879,44898) = ( 44879 × 44898) / 1
LCM(44879,44898) = 2014977342 / 1
LCM(44879,44898) = 2014977342
Least Common Multiple (LCM) of 44879 and 44898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44879 and 44898. First we will calculate the prime factors of 44879 and 44898.
Prime Factorization of 44879
Prime factors of 44879 are 44879. Prime factorization of 44879 in exponential form is:
44879 = 448791
Prime Factorization of 44898
Prime factors of 44898 are 2, 3, 7, 1069. Prime factorization of 44898 in exponential form is:
44898 = 21 × 31 × 71 × 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 44879 and 44898.
LCM(44879,44898) = 448791 × 21 × 31 × 71 × 10691
LCM(44879,44898) = 2014977342
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