What is the Least Common Multiple of 7771 and 7775?
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 7771 and 7775 is 60419525.
LCM(7771,7775) = 60419525
Least Common Multiple of 7771 and 7775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7771 and 7775, than apply into the LCM equation.
GCF(7771,7775) = 1
LCM(7771,7775) = ( 7771 × 7775) / 1
LCM(7771,7775) = 60419525 / 1
LCM(7771,7775) = 60419525
Least Common Multiple (LCM) of 7771 and 7775 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7771 and 7775. First we will calculate the prime factors of 7771 and 7775.
Prime Factorization of 7771
Prime factors of 7771 are 19, 409. Prime factorization of 7771 in exponential form is:
7771 = 191 × 4091
Prime Factorization of 7775
Prime factors of 7775 are 5, 311. Prime factorization of 7775 in exponential form is:
7775 = 52 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 7771 and 7775.
LCM(7771,7775) = 191 × 4091 × 52 × 3111
LCM(7771,7775) = 60419525
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