What is the Least Common Multiple of 10648 and 10664?
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 10648 and 10664 is 14193784.
LCM(10648,10664) = 14193784
Least Common Multiple of 10648 and 10664 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10648 and 10664, than apply into the LCM equation.
GCF(10648,10664) = 8
LCM(10648,10664) = ( 10648 × 10664) / 8
LCM(10648,10664) = 113550272 / 8
LCM(10648,10664) = 14193784
Least Common Multiple (LCM) of 10648 and 10664 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10648 and 10664. First we will calculate the prime factors of 10648 and 10664.
Prime Factorization of 10648
Prime factors of 10648 are 2, 11. Prime factorization of 10648 in exponential form is:
10648 = 23 × 113
Prime Factorization of 10664
Prime factors of 10664 are 2, 31, 43. Prime factorization of 10664 in exponential form is:
10664 = 23 × 311 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 10648 and 10664.
LCM(10648,10664) = 23 × 113 × 311 × 431
LCM(10648,10664) = 14193784
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