What is the Least Common Multiple of 18187 and 18203?
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 18187 and 18203 is 331057961.
LCM(18187,18203) = 331057961
Least Common Multiple of 18187 and 18203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18187 and 18203, than apply into the LCM equation.
GCF(18187,18203) = 1
LCM(18187,18203) = ( 18187 × 18203) / 1
LCM(18187,18203) = 331057961 / 1
LCM(18187,18203) = 331057961
Least Common Multiple (LCM) of 18187 and 18203 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18187 and 18203. First we will calculate the prime factors of 18187 and 18203.
Prime Factorization of 18187
Prime factors of 18187 are 13, 1399. Prime factorization of 18187 in exponential form is:
18187 = 131 × 13991
Prime Factorization of 18203
Prime factors of 18203 are 109, 167. Prime factorization of 18203 in exponential form is:
18203 = 1091 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 18187 and 18203.
LCM(18187,18203) = 131 × 13991 × 1091 × 1671
LCM(18187,18203) = 331057961
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