What is the Least Common Multiple of 50769 and 50773?
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 50769 and 50773 is 2577694437.
LCM(50769,50773) = 2577694437
Least Common Multiple of 50769 and 50773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50769 and 50773, than apply into the LCM equation.
GCF(50769,50773) = 1
LCM(50769,50773) = ( 50769 × 50773) / 1
LCM(50769,50773) = 2577694437 / 1
LCM(50769,50773) = 2577694437
Least Common Multiple (LCM) of 50769 and 50773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50769 and 50773. First we will calculate the prime factors of 50769 and 50773.
Prime Factorization of 50769
Prime factors of 50769 are 3, 5641. Prime factorization of 50769 in exponential form is:
50769 = 32 × 56411
Prime Factorization of 50773
Prime factors of 50773 are 50773. Prime factorization of 50773 in exponential form is:
50773 = 507731
Now multiplying the highest exponent prime factors to calculate the LCM of 50769 and 50773.
LCM(50769,50773) = 32 × 56411 × 507731
LCM(50769,50773) = 2577694437
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