What is the Least Common Multiple of 50381 and 50385?
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 50381 and 50385 is 2538446685.
LCM(50381,50385) = 2538446685
Least Common Multiple of 50381 and 50385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50381 and 50385, than apply into the LCM equation.
GCF(50381,50385) = 1
LCM(50381,50385) = ( 50381 × 50385) / 1
LCM(50381,50385) = 2538446685 / 1
LCM(50381,50385) = 2538446685
Least Common Multiple (LCM) of 50381 and 50385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50381 and 50385. First we will calculate the prime factors of 50381 and 50385.
Prime Factorization of 50381
Prime factors of 50381 are 83, 607. Prime factorization of 50381 in exponential form is:
50381 = 831 × 6071
Prime Factorization of 50385
Prime factors of 50385 are 3, 5, 3359. Prime factorization of 50385 in exponential form is:
50385 = 31 × 51 × 33591
Now multiplying the highest exponent prime factors to calculate the LCM of 50381 and 50385.
LCM(50381,50385) = 831 × 6071 × 31 × 51 × 33591
LCM(50381,50385) = 2538446685
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