What is the Least Common Multiple of 10944 and 10960?
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 10960 is 7496640.
LCM(10944,10960) = 7496640
Least Common Multiple of 10944 and 10960 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 10960, than apply into the LCM equation.
GCF(10944,10960) = 16
LCM(10944,10960) = ( 10944 × 10960) / 16
LCM(10944,10960) = 119946240 / 16
LCM(10944,10960) = 7496640
Least Common Multiple (LCM) of 10944 and 10960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10944 and 10960. First we will calculate the prime factors of 10944 and 10960.
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 10960
Prime factors of 10960 are 2, 5, 137. Prime factorization of 10960 in exponential form is:
10960 = 24 × 51 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 10944 and 10960.
LCM(10944,10960) = 26 × 32 × 191 × 51 × 1371
LCM(10944,10960) = 7496640
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