What is the Least Common Multiple of 18155 and 18161?
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 18155 and 18161 is 329712955.
LCM(18155,18161) = 329712955
Least Common Multiple of 18155 and 18161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18155 and 18161, than apply into the LCM equation.
GCF(18155,18161) = 1
LCM(18155,18161) = ( 18155 × 18161) / 1
LCM(18155,18161) = 329712955 / 1
LCM(18155,18161) = 329712955
Least Common Multiple (LCM) of 18155 and 18161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18155 and 18161. First we will calculate the prime factors of 18155 and 18161.
Prime Factorization of 18155
Prime factors of 18155 are 5, 3631. Prime factorization of 18155 in exponential form is:
18155 = 51 × 36311
Prime Factorization of 18161
Prime factors of 18161 are 11, 13, 127. Prime factorization of 18161 in exponential form is:
18161 = 111 × 131 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 18155 and 18161.
LCM(18155,18161) = 51 × 36311 × 111 × 131 × 1271
LCM(18155,18161) = 329712955
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