What is the Least Common Multiple of 11364 and 11376?
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 11364 and 11376 is 10773072.
LCM(11364,11376) = 10773072
Least Common Multiple of 11364 and 11376 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11364 and 11376, than apply into the LCM equation.
GCF(11364,11376) = 12
LCM(11364,11376) = ( 11364 × 11376) / 12
LCM(11364,11376) = 129276864 / 12
LCM(11364,11376) = 10773072
Least Common Multiple (LCM) of 11364 and 11376 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11364 and 11376. First we will calculate the prime factors of 11364 and 11376.
Prime Factorization of 11364
Prime factors of 11364 are 2, 3, 947. Prime factorization of 11364 in exponential form is:
11364 = 22 × 31 × 9471
Prime Factorization of 11376
Prime factors of 11376 are 2, 3, 79. Prime factorization of 11376 in exponential form is:
11376 = 24 × 32 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 11364 and 11376.
LCM(11364,11376) = 24 × 32 × 9471 × 791
LCM(11364,11376) = 10773072
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