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What is the Least Common Multiple of 28281 and 28292?

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 28281 and 28292 is 72738732.

LCM(28281,28292) = 72738732

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Least Common Multiple of 28281 and 28292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28281 and 28292, than apply into the LCM equation.

GCF(28281,28292) = 11
LCM(28281,28292) = ( 28281 × 28292) / 11
LCM(28281,28292) = 800126052 / 11
LCM(28281,28292) = 72738732

Least Common Multiple (LCM) of 28281 and 28292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28281 and 28292. First we will calculate the prime factors of 28281 and 28292.

Prime Factorization of 28281

Prime factors of 28281 are 3, 11, 857. Prime factorization of 28281 in exponential form is:

28281 = 31 × 111 × 8571

Prime Factorization of 28292

Prime factors of 28292 are 2, 11, 643. Prime factorization of 28292 in exponential form is:

28292 = 22 × 111 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 28281 and 28292.

LCM(28281,28292) = 31 × 111 × 8571 × 22 × 6431
LCM(28281,28292) = 72738732