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What is the Least Common Multiple of 9144 and 9148?

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 9144 and 9148 is 20912328.

LCM(9144,9148) = 20912328

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Least Common Multiple of 9144 and 9148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9144 and 9148, than apply into the LCM equation.

GCF(9144,9148) = 4
LCM(9144,9148) = ( 9144 × 9148) / 4
LCM(9144,9148) = 83649312 / 4
LCM(9144,9148) = 20912328

Least Common Multiple (LCM) of 9144 and 9148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9144 and 9148. First we will calculate the prime factors of 9144 and 9148.

Prime Factorization of 9144

Prime factors of 9144 are 2, 3, 127. Prime factorization of 9144 in exponential form is:

9144 = 23 × 32 × 1271

Prime Factorization of 9148

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

9148 = 22 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 9144 and 9148.

LCM(9144,9148) = 23 × 32 × 1271 × 22871
LCM(9144,9148) = 20912328