What is the Least Common Multiple of 50425 and 50431?
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 50425 and 50431 is 2542983175.
LCM(50425,50431) = 2542983175
Least Common Multiple of 50425 and 50431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50425 and 50431, than apply into the LCM equation.
GCF(50425,50431) = 1
LCM(50425,50431) = ( 50425 × 50431) / 1
LCM(50425,50431) = 2542983175 / 1
LCM(50425,50431) = 2542983175
Least Common Multiple (LCM) of 50425 and 50431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50425 and 50431. First we will calculate the prime factors of 50425 and 50431.
Prime Factorization of 50425
Prime factors of 50425 are 5, 2017. Prime factorization of 50425 in exponential form is:
50425 = 52 × 20171
Prime Factorization of 50431
Prime factors of 50431 are 29, 37, 47. Prime factorization of 50431 in exponential form is:
50431 = 291 × 371 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 50425 and 50431.
LCM(50425,50431) = 52 × 20171 × 291 × 371 × 471
LCM(50425,50431) = 2542983175
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