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What is the Least Common Multiple of 10164 and 10177?

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 10177 is 103439028.

LCM(10164,10177) = 103439028

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Least Common Multiple of 10164 and 10177 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 10177, than apply into the LCM equation.

GCF(10164,10177) = 1
LCM(10164,10177) = ( 10164 × 10177) / 1
LCM(10164,10177) = 103439028 / 1
LCM(10164,10177) = 103439028

Least Common Multiple (LCM) of 10164 and 10177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10164 and 10177. First we will calculate the prime factors of 10164 and 10177.

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 10177

Prime factors of 10177 are 10177. Prime factorization of 10177 in exponential form is:

10177 = 101771

Now multiplying the highest exponent prime factors to calculate the LCM of 10164 and 10177.

LCM(10164,10177) = 22 × 31 × 71 × 112 × 101771
LCM(10164,10177) = 103439028