What is the Least Common Multiple of 13621 and 13641?
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 13621 and 13641 is 185804061.
LCM(13621,13641) = 185804061
Least Common Multiple of 13621 and 13641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13621 and 13641, than apply into the LCM equation.
GCF(13621,13641) = 1
LCM(13621,13641) = ( 13621 × 13641) / 1
LCM(13621,13641) = 185804061 / 1
LCM(13621,13641) = 185804061
Least Common Multiple (LCM) of 13621 and 13641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13621 and 13641. First we will calculate the prime factors of 13621 and 13641.
Prime Factorization of 13621
Prime factors of 13621 are 53, 257. Prime factorization of 13621 in exponential form is:
13621 = 531 × 2571
Prime Factorization of 13641
Prime factors of 13641 are 3, 4547. Prime factorization of 13641 in exponential form is:
13641 = 31 × 45471
Now multiplying the highest exponent prime factors to calculate the LCM of 13621 and 13641.
LCM(13621,13641) = 531 × 2571 × 31 × 45471
LCM(13621,13641) = 185804061
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