What is the Least Common Multiple of 50555 and 50571?
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 50571 is 2556616905.
LCM(50555,50571) = 2556616905
Least Common Multiple of 50555 and 50571 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 50571, than apply into the LCM equation.
GCF(50555,50571) = 1
LCM(50555,50571) = ( 50555 × 50571) / 1
LCM(50555,50571) = 2556616905 / 1
LCM(50555,50571) = 2556616905
Least Common Multiple (LCM) of 50555 and 50571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50555 and 50571. First we will calculate the prime factors of 50555 and 50571.
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 50571
Prime factors of 50571 are 3, 1873. Prime factorization of 50571 in exponential form is:
50571 = 33 × 18731
Now multiplying the highest exponent prime factors to calculate the LCM of 50555 and 50571.
LCM(50555,50571) = 51 × 101111 × 33 × 18731
LCM(50555,50571) = 2556616905
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