What is the Least Common Multiple of 10944 and 10949?
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 10944 and 10949 is 119825856.
LCM(10944,10949) = 119825856
Least Common Multiple of 10944 and 10949 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10944 and 10949, than apply into the LCM equation.
GCF(10944,10949) = 1
LCM(10944,10949) = ( 10944 × 10949) / 1
LCM(10944,10949) = 119825856 / 1
LCM(10944,10949) = 119825856
Least Common Multiple (LCM) of 10944 and 10949 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10944 and 10949. First we will calculate the prime factors of 10944 and 10949.
Prime Factorization of 10944
Prime factors of 10944 are 2, 3, 19. Prime factorization of 10944 in exponential form is:
10944 = 26 × 32 × 191
Prime Factorization of 10949
Prime factors of 10949 are 10949. Prime factorization of 10949 in exponential form is:
10949 = 109491
Now multiplying the highest exponent prime factors to calculate the LCM of 10944 and 10949.
LCM(10944,10949) = 26 × 32 × 191 × 109491
LCM(10944,10949) = 119825856
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