What is the Least Common Multiple of 13187 and 13193?
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 13187 and 13193 is 173976091.
LCM(13187,13193) = 173976091
Least Common Multiple of 13187 and 13193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13187 and 13193, than apply into the LCM equation.
GCF(13187,13193) = 1
LCM(13187,13193) = ( 13187 × 13193) / 1
LCM(13187,13193) = 173976091 / 1
LCM(13187,13193) = 173976091
Least Common Multiple (LCM) of 13187 and 13193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13187 and 13193. First we will calculate the prime factors of 13187 and 13193.
Prime Factorization of 13187
Prime factors of 13187 are 13187. Prime factorization of 13187 in exponential form is:
13187 = 131871
Prime Factorization of 13193
Prime factors of 13193 are 79, 167. Prime factorization of 13193 in exponential form is:
13193 = 791 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 13187 and 13193.
LCM(13187,13193) = 131871 × 791 × 1671
LCM(13187,13193) = 173976091
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