What is the Least Common Multiple of 50026 and 50044?
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 50026 and 50044 is 1251750572.
LCM(50026,50044) = 1251750572
Least Common Multiple of 50026 and 50044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50026 and 50044, than apply into the LCM equation.
GCF(50026,50044) = 2
LCM(50026,50044) = ( 50026 × 50044) / 2
LCM(50026,50044) = 2503501144 / 2
LCM(50026,50044) = 1251750572
Least Common Multiple (LCM) of 50026 and 50044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50026 and 50044. First we will calculate the prime factors of 50026 and 50044.
Prime Factorization of 50026
Prime factors of 50026 are 2, 25013. Prime factorization of 50026 in exponential form is:
50026 = 21 × 250131
Prime Factorization of 50044
Prime factors of 50044 are 2, 12511. Prime factorization of 50044 in exponential form is:
50044 = 22 × 125111
Now multiplying the highest exponent prime factors to calculate the LCM of 50026 and 50044.
LCM(50026,50044) = 22 × 250131 × 125111
LCM(50026,50044) = 1251750572
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