What is the Least Common Multiple of 50555 and 50559?
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 50555 and 50559 is 2556010245.
LCM(50555,50559) = 2556010245
Least Common Multiple of 50555 and 50559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50555 and 50559, than apply into the LCM equation.
GCF(50555,50559) = 1
LCM(50555,50559) = ( 50555 × 50559) / 1
LCM(50555,50559) = 2556010245 / 1
LCM(50555,50559) = 2556010245
Least Common Multiple (LCM) of 50555 and 50559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50555 and 50559. First we will calculate the prime factors of 50555 and 50559.
Prime Factorization of 50555
Prime factors of 50555 are 5, 10111. Prime factorization of 50555 in exponential form is:
50555 = 51 × 101111
Prime Factorization of 50559
Prime factors of 50559 are 3, 19, 887. Prime factorization of 50559 in exponential form is:
50559 = 31 × 191 × 8871
Now multiplying the highest exponent prime factors to calculate the LCM of 50555 and 50559.
LCM(50555,50559) = 51 × 101111 × 31 × 191 × 8871
LCM(50555,50559) = 2556010245
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