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What is the Least Common Multiple of 9148 and 9164?

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 9148 and 9164 is 20958068.

LCM(9148,9164) = 20958068

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Least Common Multiple of 9148 and 9164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9148 and 9164, than apply into the LCM equation.

GCF(9148,9164) = 4
LCM(9148,9164) = ( 9148 × 9164) / 4
LCM(9148,9164) = 83832272 / 4
LCM(9148,9164) = 20958068

Least Common Multiple (LCM) of 9148 and 9164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9148 and 9164. First we will calculate the prime factors of 9148 and 9164.

Prime Factorization of 9148

Prime factors of 9148 are 2, 2287. Prime factorization of 9148 in exponential form is:

9148 = 22 × 22871

Prime Factorization of 9164

Prime factors of 9164 are 2, 29, 79. Prime factorization of 9164 in exponential form is:

9164 = 22 × 291 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 9148 and 9164.

LCM(9148,9164) = 22 × 22871 × 291 × 791
LCM(9148,9164) = 20958068