What is the Least Common Multiple of 13629 and 13644?
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 13629 and 13644 is 61984692.
LCM(13629,13644) = 61984692
Least Common Multiple of 13629 and 13644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13629 and 13644, than apply into the LCM equation.
GCF(13629,13644) = 3
LCM(13629,13644) = ( 13629 × 13644) / 3
LCM(13629,13644) = 185954076 / 3
LCM(13629,13644) = 61984692
Least Common Multiple (LCM) of 13629 and 13644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13629 and 13644. First we will calculate the prime factors of 13629 and 13644.
Prime Factorization of 13629
Prime factors of 13629 are 3, 7, 11, 59. Prime factorization of 13629 in exponential form is:
13629 = 31 × 71 × 111 × 591
Prime Factorization of 13644
Prime factors of 13644 are 2, 3, 379. Prime factorization of 13644 in exponential form is:
13644 = 22 × 32 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 13629 and 13644.
LCM(13629,13644) = 32 × 71 × 111 × 591 × 22 × 3791
LCM(13629,13644) = 61984692
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