What is the Least Common Multiple of 5133 and 5144?
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 5133 and 5144 is 26404152.
LCM(5133,5144) = 26404152
Least Common Multiple of 5133 and 5144 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5133 and 5144, than apply into the LCM equation.
GCF(5133,5144) = 1
LCM(5133,5144) = ( 5133 × 5144) / 1
LCM(5133,5144) = 26404152 / 1
LCM(5133,5144) = 26404152
Least Common Multiple (LCM) of 5133 and 5144 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5133 and 5144. First we will calculate the prime factors of 5133 and 5144.
Prime Factorization of 5133
Prime factors of 5133 are 3, 29, 59. Prime factorization of 5133 in exponential form is:
5133 = 31 × 291 × 591
Prime Factorization of 5144
Prime factors of 5144 are 2, 643. Prime factorization of 5144 in exponential form is:
5144 = 23 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 5133 and 5144.
LCM(5133,5144) = 31 × 291 × 591 × 23 × 6431
LCM(5133,5144) = 26404152
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