What is the Least Common Multiple of 11471 and 11476?
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 11471 and 11476 is 131641196.
LCM(11471,11476) = 131641196
Least Common Multiple of 11471 and 11476 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11471 and 11476, than apply into the LCM equation.
GCF(11471,11476) = 1
LCM(11471,11476) = ( 11471 × 11476) / 1
LCM(11471,11476) = 131641196 / 1
LCM(11471,11476) = 131641196
Least Common Multiple (LCM) of 11471 and 11476 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11471 and 11476. First we will calculate the prime factors of 11471 and 11476.
Prime Factorization of 11471
Prime factors of 11471 are 11471. Prime factorization of 11471 in exponential form is:
11471 = 114711
Prime Factorization of 11476
Prime factors of 11476 are 2, 19, 151. Prime factorization of 11476 in exponential form is:
11476 = 22 × 191 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 11471 and 11476.
LCM(11471,11476) = 114711 × 22 × 191 × 1511
LCM(11471,11476) = 131641196
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