What is the Least Common Multiple of 10164 and 10178?
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 10164 and 10178 is 7389228.
LCM(10164,10178) = 7389228
Least Common Multiple of 10164 and 10178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10164 and 10178, than apply into the LCM equation.
GCF(10164,10178) = 14
LCM(10164,10178) = ( 10164 × 10178) / 14
LCM(10164,10178) = 103449192 / 14
LCM(10164,10178) = 7389228
Least Common Multiple (LCM) of 10164 and 10178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10164 and 10178. First we will calculate the prime factors of 10164 and 10178.
Prime Factorization of 10164
Prime factors of 10164 are 2, 3, 7, 11. Prime factorization of 10164 in exponential form is:
10164 = 22 × 31 × 71 × 112
Prime Factorization of 10178
Prime factors of 10178 are 2, 7, 727. Prime factorization of 10178 in exponential form is:
10178 = 21 × 71 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 10164 and 10178.
LCM(10164,10178) = 22 × 31 × 71 × 112 × 7271
LCM(10164,10178) = 7389228
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