What is the Least Common Multiple of 13944 and 13948?
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 13944 and 13948 is 48622728.
LCM(13944,13948) = 48622728
Least Common Multiple of 13944 and 13948 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13944 and 13948, than apply into the LCM equation.
GCF(13944,13948) = 4
LCM(13944,13948) = ( 13944 × 13948) / 4
LCM(13944,13948) = 194490912 / 4
LCM(13944,13948) = 48622728
Least Common Multiple (LCM) of 13944 and 13948 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13944 and 13948. First we will calculate the prime factors of 13944 and 13948.
Prime Factorization of 13944
Prime factors of 13944 are 2, 3, 7, 83. Prime factorization of 13944 in exponential form is:
13944 = 23 × 31 × 71 × 831
Prime Factorization of 13948
Prime factors of 13948 are 2, 11, 317. Prime factorization of 13948 in exponential form is:
13948 = 22 × 111 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 13944 and 13948.
LCM(13944,13948) = 23 × 31 × 71 × 831 × 111 × 3171
LCM(13944,13948) = 48622728
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