What is the Least Common Multiple of 15161 and 15166?
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 15161 and 15166 is 229931726.
LCM(15161,15166) = 229931726
Least Common Multiple of 15161 and 15166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15161 and 15166, than apply into the LCM equation.
GCF(15161,15166) = 1
LCM(15161,15166) = ( 15161 × 15166) / 1
LCM(15161,15166) = 229931726 / 1
LCM(15161,15166) = 229931726
Least Common Multiple (LCM) of 15161 and 15166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15161 and 15166. First we will calculate the prime factors of 15161 and 15166.
Prime Factorization of 15161
Prime factors of 15161 are 15161. Prime factorization of 15161 in exponential form is:
15161 = 151611
Prime Factorization of 15166
Prime factors of 15166 are 2, 7583. Prime factorization of 15166 in exponential form is:
15166 = 21 × 75831
Now multiplying the highest exponent prime factors to calculate the LCM of 15161 and 15166.
LCM(15161,15166) = 151611 × 21 × 75831
LCM(15161,15166) = 229931726
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