What is the Least Common Multiple of 54587 and 54594?
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 54587 and 54594 is 2980122678.
LCM(54587,54594) = 2980122678
Least Common Multiple of 54587 and 54594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54587 and 54594, than apply into the LCM equation.
GCF(54587,54594) = 1
LCM(54587,54594) = ( 54587 × 54594) / 1
LCM(54587,54594) = 2980122678 / 1
LCM(54587,54594) = 2980122678
Least Common Multiple (LCM) of 54587 and 54594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54587 and 54594. First we will calculate the prime factors of 54587 and 54594.
Prime Factorization of 54587
Prime factors of 54587 are 13, 17, 19. Prime factorization of 54587 in exponential form is:
54587 = 132 × 171 × 191
Prime Factorization of 54594
Prime factors of 54594 are 2, 3, 337. Prime factorization of 54594 in exponential form is:
54594 = 21 × 34 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 54587 and 54594.
LCM(54587,54594) = 132 × 171 × 191 × 21 × 34 × 3371
LCM(54587,54594) = 2980122678
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