What is the Least Common Multiple of 15773 and 15777?
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 15773 and 15777 is 248850621.
LCM(15773,15777) = 248850621
Least Common Multiple of 15773 and 15777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15773 and 15777, than apply into the LCM equation.
GCF(15773,15777) = 1
LCM(15773,15777) = ( 15773 × 15777) / 1
LCM(15773,15777) = 248850621 / 1
LCM(15773,15777) = 248850621
Least Common Multiple (LCM) of 15773 and 15777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15773 and 15777. First we will calculate the prime factors of 15773 and 15777.
Prime Factorization of 15773
Prime factors of 15773 are 15773. Prime factorization of 15773 in exponential form is:
15773 = 157731
Prime Factorization of 15777
Prime factors of 15777 are 3, 1753. Prime factorization of 15777 in exponential form is:
15777 = 32 × 17531
Now multiplying the highest exponent prime factors to calculate the LCM of 15773 and 15777.
LCM(15773,15777) = 157731 × 32 × 17531
LCM(15773,15777) = 248850621
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