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What is the Least Common Multiple of 4286 and 4292?

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 4286 and 4292 is 9197756.

LCM(4286,4292) = 9197756

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Least Common Multiple of 4286 and 4292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4286 and 4292, than apply into the LCM equation.

GCF(4286,4292) = 2
LCM(4286,4292) = ( 4286 × 4292) / 2
LCM(4286,4292) = 18395512 / 2
LCM(4286,4292) = 9197756

Least Common Multiple (LCM) of 4286 and 4292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4286 and 4292. First we will calculate the prime factors of 4286 and 4292.

Prime Factorization of 4286

Prime factors of 4286 are 2, 2143. Prime factorization of 4286 in exponential form is:

4286 = 21 × 21431

Prime Factorization of 4292

Prime factors of 4292 are 2, 29, 37. Prime factorization of 4292 in exponential form is:

4292 = 22 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 4286 and 4292.

LCM(4286,4292) = 22 × 21431 × 291 × 371
LCM(4286,4292) = 9197756