What is the Least Common Multiple of 10166 and 10180?
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 10166 and 10180 is 51744940.
LCM(10166,10180) = 51744940
Least Common Multiple of 10166 and 10180 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10166 and 10180, than apply into the LCM equation.
GCF(10166,10180) = 2
LCM(10166,10180) = ( 10166 × 10180) / 2
LCM(10166,10180) = 103489880 / 2
LCM(10166,10180) = 51744940
Least Common Multiple (LCM) of 10166 and 10180 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10166 and 10180. First we will calculate the prime factors of 10166 and 10180.
Prime Factorization of 10166
Prime factors of 10166 are 2, 13, 17, 23. Prime factorization of 10166 in exponential form is:
10166 = 21 × 131 × 171 × 231
Prime Factorization of 10180
Prime factors of 10180 are 2, 5, 509. Prime factorization of 10180 in exponential form is:
10180 = 22 × 51 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 10166 and 10180.
LCM(10166,10180) = 22 × 131 × 171 × 231 × 51 × 5091
LCM(10166,10180) = 51744940
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