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What is the Least Common Multiple of 31284 and 31288?

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 31284 and 31288 is 244703448.

LCM(31284,31288) = 244703448

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Least Common Multiple of 31284 and 31288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31284 and 31288, than apply into the LCM equation.

GCF(31284,31288) = 4
LCM(31284,31288) = ( 31284 × 31288) / 4
LCM(31284,31288) = 978813792 / 4
LCM(31284,31288) = 244703448

Least Common Multiple (LCM) of 31284 and 31288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31284 and 31288. First we will calculate the prime factors of 31284 and 31288.

Prime Factorization of 31284

Prime factors of 31284 are 2, 3, 11, 79. Prime factorization of 31284 in exponential form is:

31284 = 22 × 32 × 111 × 791

Prime Factorization of 31288

Prime factors of 31288 are 2, 3911. Prime factorization of 31288 in exponential form is:

31288 = 23 × 39111

Now multiplying the highest exponent prime factors to calculate the LCM of 31284 and 31288.

LCM(31284,31288) = 23 × 32 × 111 × 791 × 39111
LCM(31284,31288) = 244703448