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What is the Least Common Multiple of 4233 and 4237?

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 4233 and 4237 is 17935221.

LCM(4233,4237) = 17935221

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Least Common Multiple of 4233 and 4237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4233 and 4237, than apply into the LCM equation.

GCF(4233,4237) = 1
LCM(4233,4237) = ( 4233 × 4237) / 1
LCM(4233,4237) = 17935221 / 1
LCM(4233,4237) = 17935221

Least Common Multiple (LCM) of 4233 and 4237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4233 and 4237. First we will calculate the prime factors of 4233 and 4237.

Prime Factorization of 4233

Prime factors of 4233 are 3, 17, 83. Prime factorization of 4233 in exponential form is:

4233 = 31 × 171 × 831

Prime Factorization of 4237

Prime factors of 4237 are 19, 223. Prime factorization of 4237 in exponential form is:

4237 = 191 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4233 and 4237.

LCM(4233,4237) = 31 × 171 × 831 × 191 × 2231
LCM(4233,4237) = 17935221