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What is the Least Common Multiple of 4229 and 4248?

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 4229 and 4248 is 17964792.

LCM(4229,4248) = 17964792

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Least Common Multiple of 4229 and 4248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4229 and 4248, than apply into the LCM equation.

GCF(4229,4248) = 1
LCM(4229,4248) = ( 4229 × 4248) / 1
LCM(4229,4248) = 17964792 / 1
LCM(4229,4248) = 17964792

Least Common Multiple (LCM) of 4229 and 4248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4229 and 4248. First we will calculate the prime factors of 4229 and 4248.

Prime Factorization of 4229

Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:

4229 = 42291

Prime Factorization of 4248

Prime factors of 4248 are 2, 3, 59. Prime factorization of 4248 in exponential form is:

4248 = 23 × 32 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 4229 and 4248.

LCM(4229,4248) = 42291 × 23 × 32 × 591
LCM(4229,4248) = 17964792