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What is the Least Common Multiple of 4229 and 4245?

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 4245 is 17952105.

LCM(4229,4245) = 17952105

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Least Common Multiple of 4229 and 4245 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 4245, than apply into the LCM equation.

GCF(4229,4245) = 1
LCM(4229,4245) = ( 4229 × 4245) / 1
LCM(4229,4245) = 17952105 / 1
LCM(4229,4245) = 17952105

Least Common Multiple (LCM) of 4229 and 4245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4229 and 4245. First we will calculate the prime factors of 4229 and 4245.

Prime Factorization of 4229

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

4229 = 42291

Prime Factorization of 4245

Prime factors of 4245 are 3, 5, 283. Prime factorization of 4245 in exponential form is:

4245 = 31 × 51 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 4229 and 4245.

LCM(4229,4245) = 42291 × 31 × 51 × 2831
LCM(4229,4245) = 17952105