What is the Least Common Multiple of 50647 and 50654?
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 50647 and 50654 is 2565473138.
LCM(50647,50654) = 2565473138
Least Common Multiple of 50647 and 50654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50647 and 50654, than apply into the LCM equation.
GCF(50647,50654) = 1
LCM(50647,50654) = ( 50647 × 50654) / 1
LCM(50647,50654) = 2565473138 / 1
LCM(50647,50654) = 2565473138
Least Common Multiple (LCM) of 50647 and 50654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50647 and 50654. First we will calculate the prime factors of 50647 and 50654.
Prime Factorization of 50647
Prime factors of 50647 are 50647. Prime factorization of 50647 in exponential form is:
50647 = 506471
Prime Factorization of 50654
Prime factors of 50654 are 2, 19, 31, 43. Prime factorization of 50654 in exponential form is:
50654 = 21 × 191 × 311 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 50647 and 50654.
LCM(50647,50654) = 506471 × 21 × 191 × 311 × 431
LCM(50647,50654) = 2565473138
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