What is the Least Common Multiple of 50837 and 50855?
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 50837 and 50855 is 2585315635.
LCM(50837,50855) = 2585315635
Least Common Multiple of 50837 and 50855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50837 and 50855, than apply into the LCM equation.
GCF(50837,50855) = 1
LCM(50837,50855) = ( 50837 × 50855) / 1
LCM(50837,50855) = 2585315635 / 1
LCM(50837,50855) = 2585315635
Least Common Multiple (LCM) of 50837 and 50855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50837 and 50855. First we will calculate the prime factors of 50837 and 50855.
Prime Factorization of 50837
Prime factors of 50837 are 29, 1753. Prime factorization of 50837 in exponential form is:
50837 = 291 × 17531
Prime Factorization of 50855
Prime factors of 50855 are 5, 7, 1453. Prime factorization of 50855 in exponential form is:
50855 = 51 × 71 × 14531
Now multiplying the highest exponent prime factors to calculate the LCM of 50837 and 50855.
LCM(50837,50855) = 291 × 17531 × 51 × 71 × 14531
LCM(50837,50855) = 2585315635
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