What is the Least Common Multiple of 11744 and 11748?
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 11744 and 11748 is 34492128.
LCM(11744,11748) = 34492128
Least Common Multiple of 11744 and 11748 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11744 and 11748, than apply into the LCM equation.
GCF(11744,11748) = 4
LCM(11744,11748) = ( 11744 × 11748) / 4
LCM(11744,11748) = 137968512 / 4
LCM(11744,11748) = 34492128
Least Common Multiple (LCM) of 11744 and 11748 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11744 and 11748. First we will calculate the prime factors of 11744 and 11748.
Prime Factorization of 11744
Prime factors of 11744 are 2, 367. Prime factorization of 11744 in exponential form is:
11744 = 25 × 3671
Prime Factorization of 11748
Prime factors of 11748 are 2, 3, 11, 89. Prime factorization of 11748 in exponential form is:
11748 = 22 × 31 × 111 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 11744 and 11748.
LCM(11744,11748) = 25 × 3671 × 31 × 111 × 891
LCM(11744,11748) = 34492128
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