What is the Least Common Multiple of 10161 and 10175?
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 10175 is 103388175.
LCM(10161,10175) = 103388175
Least Common Multiple of 10161 and 10175 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 10175, than apply into the LCM equation.
GCF(10161,10175) = 1
LCM(10161,10175) = ( 10161 × 10175) / 1
LCM(10161,10175) = 103388175 / 1
LCM(10161,10175) = 103388175
Least Common Multiple (LCM) of 10161 and 10175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10161 and 10175. First we will calculate the prime factors of 10161 and 10175.
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 10175
Prime factors of 10175 are 5, 11, 37. Prime factorization of 10175 in exponential form is:
10175 = 52 × 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 10161 and 10175.
LCM(10161,10175) = 32 × 11291 × 52 × 111 × 371
LCM(10161,10175) = 103388175
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