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What is the Least Common Multiple of 43248 and 43255?

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 43248 and 43255 is 1870692240.

LCM(43248,43255) = 1870692240

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Least Common Multiple of 43248 and 43255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43248 and 43255, than apply into the LCM equation.

GCF(43248,43255) = 1
LCM(43248,43255) = ( 43248 × 43255) / 1
LCM(43248,43255) = 1870692240 / 1
LCM(43248,43255) = 1870692240

Least Common Multiple (LCM) of 43248 and 43255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43248 and 43255. First we will calculate the prime factors of 43248 and 43255.

Prime Factorization of 43248

Prime factors of 43248 are 2, 3, 17, 53. Prime factorization of 43248 in exponential form is:

43248 = 24 × 31 × 171 × 531

Prime Factorization of 43255

Prime factors of 43255 are 5, 41, 211. Prime factorization of 43255 in exponential form is:

43255 = 51 × 411 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 43248 and 43255.

LCM(43248,43255) = 24 × 31 × 171 × 531 × 51 × 411 × 2111
LCM(43248,43255) = 1870692240