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What is the Least Common Multiple of 12144 and 12148?

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 12144 and 12148 is 36881328.

LCM(12144,12148) = 36881328

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Least Common Multiple of 12144 and 12148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12144 and 12148, than apply into the LCM equation.

GCF(12144,12148) = 4
LCM(12144,12148) = ( 12144 × 12148) / 4
LCM(12144,12148) = 147525312 / 4
LCM(12144,12148) = 36881328

Least Common Multiple (LCM) of 12144 and 12148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12144 and 12148. First we will calculate the prime factors of 12144 and 12148.

Prime Factorization of 12144

Prime factors of 12144 are 2, 3, 11, 23. Prime factorization of 12144 in exponential form is:

12144 = 24 × 31 × 111 × 231

Prime Factorization of 12148

Prime factors of 12148 are 2, 3037. Prime factorization of 12148 in exponential form is:

12148 = 22 × 30371

Now multiplying the highest exponent prime factors to calculate the LCM of 12144 and 12148.

LCM(12144,12148) = 24 × 31 × 111 × 231 × 30371
LCM(12144,12148) = 36881328