What is the Least Common Multiple of 50340 and 50351?
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 50340 and 50351 is 2534669340.
LCM(50340,50351) = 2534669340
Least Common Multiple of 50340 and 50351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50340 and 50351, than apply into the LCM equation.
GCF(50340,50351) = 1
LCM(50340,50351) = ( 50340 × 50351) / 1
LCM(50340,50351) = 2534669340 / 1
LCM(50340,50351) = 2534669340
Least Common Multiple (LCM) of 50340 and 50351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50340 and 50351. First we will calculate the prime factors of 50340 and 50351.
Prime Factorization of 50340
Prime factors of 50340 are 2, 3, 5, 839. Prime factorization of 50340 in exponential form is:
50340 = 22 × 31 × 51 × 8391
Prime Factorization of 50351
Prime factors of 50351 are 7, 7193. Prime factorization of 50351 in exponential form is:
50351 = 71 × 71931
Now multiplying the highest exponent prime factors to calculate the LCM of 50340 and 50351.
LCM(50340,50351) = 22 × 31 × 51 × 8391 × 71 × 71931
LCM(50340,50351) = 2534669340
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