What is the Least Common Multiple of 50418 and 50426?
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 50418 and 50426 is 1271189034.
LCM(50418,50426) = 1271189034
Least Common Multiple of 50418 and 50426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50418 and 50426, than apply into the LCM equation.
GCF(50418,50426) = 2
LCM(50418,50426) = ( 50418 × 50426) / 2
LCM(50418,50426) = 2542378068 / 2
LCM(50418,50426) = 1271189034
Least Common Multiple (LCM) of 50418 and 50426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50418 and 50426. First we will calculate the prime factors of 50418 and 50426.
Prime Factorization of 50418
Prime factors of 50418 are 2, 3, 2801. Prime factorization of 50418 in exponential form is:
50418 = 21 × 32 × 28011
Prime Factorization of 50426
Prime factors of 50426 are 2, 19, 1327. Prime factorization of 50426 in exponential form is:
50426 = 21 × 191 × 13271
Now multiplying the highest exponent prime factors to calculate the LCM of 50418 and 50426.
LCM(50418,50426) = 21 × 32 × 28011 × 191 × 13271
LCM(50418,50426) = 1271189034
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