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What is the Least Common Multiple of 13148 and 13164?

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 13148 and 13164 is 43270068.

LCM(13148,13164) = 43270068

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Least Common Multiple of 13148 and 13164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13148 and 13164, than apply into the LCM equation.

GCF(13148,13164) = 4
LCM(13148,13164) = ( 13148 × 13164) / 4
LCM(13148,13164) = 173080272 / 4
LCM(13148,13164) = 43270068

Least Common Multiple (LCM) of 13148 and 13164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13148 and 13164. First we will calculate the prime factors of 13148 and 13164.

Prime Factorization of 13148

Prime factors of 13148 are 2, 19, 173. Prime factorization of 13148 in exponential form is:

13148 = 22 × 191 × 1731

Prime Factorization of 13164

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

13164 = 22 × 31 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 13148 and 13164.

LCM(13148,13164) = 22 × 191 × 1731 × 31 × 10971
LCM(13148,13164) = 43270068