What is the Least Common Multiple of 50751 and 50771?
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 50751 and 50771 is 2576679021.
LCM(50751,50771) = 2576679021
Least Common Multiple of 50751 and 50771 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50751 and 50771, than apply into the LCM equation.
GCF(50751,50771) = 1
LCM(50751,50771) = ( 50751 × 50771) / 1
LCM(50751,50771) = 2576679021 / 1
LCM(50751,50771) = 2576679021
Least Common Multiple (LCM) of 50751 and 50771 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50751 and 50771. First we will calculate the prime factors of 50751 and 50771.
Prime Factorization of 50751
Prime factors of 50751 are 3, 5639. Prime factorization of 50751 in exponential form is:
50751 = 32 × 56391
Prime Factorization of 50771
Prime factors of 50771 are 7, 7253. Prime factorization of 50771 in exponential form is:
50771 = 71 × 72531
Now multiplying the highest exponent prime factors to calculate the LCM of 50751 and 50771.
LCM(50751,50771) = 32 × 56391 × 71 × 72531
LCM(50751,50771) = 2576679021
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