What is the Least Common Multiple of 13629 and 13638?
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 13638 is 61957434.
LCM(13629,13638) = 61957434
Least Common Multiple of 13629 and 13638 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 13638, than apply into the LCM equation.
GCF(13629,13638) = 3
LCM(13629,13638) = ( 13629 × 13638) / 3
LCM(13629,13638) = 185872302 / 3
LCM(13629,13638) = 61957434
Least Common Multiple (LCM) of 13629 and 13638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13629 and 13638. First we will calculate the prime factors of 13629 and 13638.
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 13638
Prime factors of 13638 are 2, 3, 2273. Prime factorization of 13638 in exponential form is:
13638 = 21 × 31 × 22731
Now multiplying the highest exponent prime factors to calculate the LCM of 13629 and 13638.
LCM(13629,13638) = 31 × 71 × 111 × 591 × 21 × 22731
LCM(13629,13638) = 61957434
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