What is the Least Common Multiple of 11771 and 11775?
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 11771 and 11775 is 138603525.
LCM(11771,11775) = 138603525
Least Common Multiple of 11771 and 11775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11771 and 11775, than apply into the LCM equation.
GCF(11771,11775) = 1
LCM(11771,11775) = ( 11771 × 11775) / 1
LCM(11771,11775) = 138603525 / 1
LCM(11771,11775) = 138603525
Least Common Multiple (LCM) of 11771 and 11775 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11771 and 11775. First we will calculate the prime factors of 11771 and 11775.
Prime Factorization of 11771
Prime factors of 11771 are 79, 149. Prime factorization of 11771 in exponential form is:
11771 = 791 × 1491
Prime Factorization of 11775
Prime factors of 11775 are 3, 5, 157. Prime factorization of 11775 in exponential form is:
11775 = 31 × 52 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 11771 and 11775.
LCM(11771,11775) = 791 × 1491 × 31 × 52 × 1571
LCM(11771,11775) = 138603525
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