What is the Least Common Multiple of 13629 and 13642?
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 13642 is 185926818.
LCM(13629,13642) = 185926818
Least Common Multiple of 13629 and 13642 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 13642, than apply into the LCM equation.
GCF(13629,13642) = 1
LCM(13629,13642) = ( 13629 × 13642) / 1
LCM(13629,13642) = 185926818 / 1
LCM(13629,13642) = 185926818
Least Common Multiple (LCM) of 13629 and 13642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13629 and 13642. First we will calculate the prime factors of 13629 and 13642.
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 13642
Prime factors of 13642 are 2, 19, 359. Prime factorization of 13642 in exponential form is:
13642 = 21 × 191 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 13629 and 13642.
LCM(13629,13642) = 31 × 71 × 111 × 591 × 21 × 191 × 3591
LCM(13629,13642) = 185926818
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