What is the Least Common Multiple of 13611 and 13619?
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 13611 and 13619 is 185368209.
LCM(13611,13619) = 185368209
Least Common Multiple of 13611 and 13619 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13611 and 13619, than apply into the LCM equation.
GCF(13611,13619) = 1
LCM(13611,13619) = ( 13611 × 13619) / 1
LCM(13611,13619) = 185368209 / 1
LCM(13611,13619) = 185368209
Least Common Multiple (LCM) of 13611 and 13619 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13611 and 13619. First we will calculate the prime factors of 13611 and 13619.
Prime Factorization of 13611
Prime factors of 13611 are 3, 13, 349. Prime factorization of 13611 in exponential form is:
13611 = 31 × 131 × 3491
Prime Factorization of 13619
Prime factors of 13619 are 13619. Prime factorization of 13619 in exponential form is:
13619 = 136191
Now multiplying the highest exponent prime factors to calculate the LCM of 13611 and 13619.
LCM(13611,13619) = 31 × 131 × 3491 × 136191
LCM(13611,13619) = 185368209
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