What is the Least Common Multiple of 10161 and 10174?
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 10161 and 10174 is 103378014.
LCM(10161,10174) = 103378014
Least Common Multiple of 10161 and 10174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10161 and 10174, than apply into the LCM equation.
GCF(10161,10174) = 1
LCM(10161,10174) = ( 10161 × 10174) / 1
LCM(10161,10174) = 103378014 / 1
LCM(10161,10174) = 103378014
Least Common Multiple (LCM) of 10161 and 10174 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10161 and 10174. First we will calculate the prime factors of 10161 and 10174.
Prime Factorization of 10161
Prime factors of 10161 are 3, 1129. Prime factorization of 10161 in exponential form is:
10161 = 32 × 11291
Prime Factorization of 10174
Prime factors of 10174 are 2, 5087. Prime factorization of 10174 in exponential form is:
10174 = 21 × 50871
Now multiplying the highest exponent prime factors to calculate the LCM of 10161 and 10174.
LCM(10161,10174) = 32 × 11291 × 21 × 50871
LCM(10161,10174) = 103378014
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