What is the Least Common Multiple of 50307 and 50317?
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 50307 and 50317 is 2531297319.
LCM(50307,50317) = 2531297319
Least Common Multiple of 50307 and 50317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50307 and 50317, than apply into the LCM equation.
GCF(50307,50317) = 1
LCM(50307,50317) = ( 50307 × 50317) / 1
LCM(50307,50317) = 2531297319 / 1
LCM(50307,50317) = 2531297319
Least Common Multiple (LCM) of 50307 and 50317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50307 and 50317. First we will calculate the prime factors of 50307 and 50317.
Prime Factorization of 50307
Prime factors of 50307 are 3, 41, 409. Prime factorization of 50307 in exponential form is:
50307 = 31 × 411 × 4091
Prime Factorization of 50317
Prime factors of 50317 are 67, 751. Prime factorization of 50317 in exponential form is:
50317 = 671 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 50307 and 50317.
LCM(50307,50317) = 31 × 411 × 4091 × 671 × 7511
LCM(50307,50317) = 2531297319
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