What is the Least Common Multiple of 53773 and 53777?
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 53773 and 53777 is 2891750621.
LCM(53773,53777) = 2891750621
Least Common Multiple of 53773 and 53777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53773 and 53777, than apply into the LCM equation.
GCF(53773,53777) = 1
LCM(53773,53777) = ( 53773 × 53777) / 1
LCM(53773,53777) = 2891750621 / 1
LCM(53773,53777) = 2891750621
Least Common Multiple (LCM) of 53773 and 53777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53773 and 53777. First we will calculate the prime factors of 53773 and 53777.
Prime Factorization of 53773
Prime factors of 53773 are 53773. Prime factorization of 53773 in exponential form is:
53773 = 537731
Prime Factorization of 53777
Prime factors of 53777 are 53777. Prime factorization of 53777 in exponential form is:
53777 = 537771
Now multiplying the highest exponent prime factors to calculate the LCM of 53773 and 53777.
LCM(53773,53777) = 537731 × 537771
LCM(53773,53777) = 2891750621
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