What is the Least Common Multiple of 13617 and 13637?
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 13617 and 13637 is 185695029.
LCM(13617,13637) = 185695029
Least Common Multiple of 13617 and 13637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13617 and 13637, than apply into the LCM equation.
GCF(13617,13637) = 1
LCM(13617,13637) = ( 13617 × 13637) / 1
LCM(13617,13637) = 185695029 / 1
LCM(13617,13637) = 185695029
Least Common Multiple (LCM) of 13617 and 13637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13617 and 13637. First we will calculate the prime factors of 13617 and 13637.
Prime Factorization of 13617
Prime factors of 13617 are 3, 17, 89. Prime factorization of 13617 in exponential form is:
13617 = 32 × 171 × 891
Prime Factorization of 13637
Prime factors of 13637 are 13, 1049. Prime factorization of 13637 in exponential form is:
13637 = 131 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 13617 and 13637.
LCM(13617,13637) = 32 × 171 × 891 × 131 × 10491
LCM(13617,13637) = 185695029
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