What is the Least Common Multiple of 5144 and 5149?
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 5144 and 5149 is 26486456.
LCM(5144,5149) = 26486456
Least Common Multiple of 5144 and 5149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5144 and 5149, than apply into the LCM equation.
GCF(5144,5149) = 1
LCM(5144,5149) = ( 5144 × 5149) / 1
LCM(5144,5149) = 26486456 / 1
LCM(5144,5149) = 26486456
Least Common Multiple (LCM) of 5144 and 5149 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5144 and 5149. First we will calculate the prime factors of 5144 and 5149.
Prime Factorization of 5144
Prime factors of 5144 are 2, 643. Prime factorization of 5144 in exponential form is:
5144 = 23 × 6431
Prime Factorization of 5149
Prime factors of 5149 are 19, 271. Prime factorization of 5149 in exponential form is:
5149 = 191 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 5144 and 5149.
LCM(5144,5149) = 23 × 6431 × 191 × 2711
LCM(5144,5149) = 26486456
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