What is the Least Common Multiple of 50542 and 50555?
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 50542 and 50555 is 2555150810.
LCM(50542,50555) = 2555150810
Least Common Multiple of 50542 and 50555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50542 and 50555, than apply into the LCM equation.
GCF(50542,50555) = 1
LCM(50542,50555) = ( 50542 × 50555) / 1
LCM(50542,50555) = 2555150810 / 1
LCM(50542,50555) = 2555150810
Least Common Multiple (LCM) of 50542 and 50555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50542 and 50555. First we will calculate the prime factors of 50542 and 50555.
Prime Factorization of 50542
Prime factors of 50542 are 2, 37, 683. Prime factorization of 50542 in exponential form is:
50542 = 21 × 371 × 6831
Prime Factorization of 50555
Prime factors of 50555 are 5, 10111. Prime factorization of 50555 in exponential form is:
50555 = 51 × 101111
Now multiplying the highest exponent prime factors to calculate the LCM of 50542 and 50555.
LCM(50542,50555) = 21 × 371 × 6831 × 51 × 101111
LCM(50542,50555) = 2555150810
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