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What is the Least Common Multiple of 13164 and 13175?

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 13164 and 13175 is 173435700.

LCM(13164,13175) = 173435700

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Least Common Multiple of 13164 and 13175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13164 and 13175, than apply into the LCM equation.

GCF(13164,13175) = 1
LCM(13164,13175) = ( 13164 × 13175) / 1
LCM(13164,13175) = 173435700 / 1
LCM(13164,13175) = 173435700

Least Common Multiple (LCM) of 13164 and 13175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13164 and 13175. First we will calculate the prime factors of 13164 and 13175.

Prime Factorization of 13164

Prime factors of 13164 are 2, 3, 1097. Prime factorization of 13164 in exponential form is:

13164 = 22 × 31 × 10971

Prime Factorization of 13175

Prime factors of 13175 are 5, 17, 31. Prime factorization of 13175 in exponential form is:

13175 = 52 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 13164 and 13175.

LCM(13164,13175) = 22 × 31 × 10971 × 52 × 171 × 311
LCM(13164,13175) = 173435700