What is the Least Common Multiple of 50318 and 50337?
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 50318 and 50337 is 2532857166.
LCM(50318,50337) = 2532857166
Least Common Multiple of 50318 and 50337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50318 and 50337, than apply into the LCM equation.
GCF(50318,50337) = 1
LCM(50318,50337) = ( 50318 × 50337) / 1
LCM(50318,50337) = 2532857166 / 1
LCM(50318,50337) = 2532857166
Least Common Multiple (LCM) of 50318 and 50337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50318 and 50337. First we will calculate the prime factors of 50318 and 50337.
Prime Factorization of 50318
Prime factors of 50318 are 2, 139, 181. Prime factorization of 50318 in exponential form is:
50318 = 21 × 1391 × 1811
Prime Factorization of 50337
Prime factors of 50337 are 3, 7, 17, 47. Prime factorization of 50337 in exponential form is:
50337 = 32 × 71 × 171 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 50318 and 50337.
LCM(50318,50337) = 21 × 1391 × 1811 × 32 × 71 × 171 × 471
LCM(50318,50337) = 2532857166
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