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What is the Least Common Multiple of 4228 and 4233?

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 4228 and 4233 is 17897124.

LCM(4228,4233) = 17897124

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Least Common Multiple of 4228 and 4233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4228 and 4233, than apply into the LCM equation.

GCF(4228,4233) = 1
LCM(4228,4233) = ( 4228 × 4233) / 1
LCM(4228,4233) = 17897124 / 1
LCM(4228,4233) = 17897124

Least Common Multiple (LCM) of 4228 and 4233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4228 and 4233. First we will calculate the prime factors of 4228 and 4233.

Prime Factorization of 4228

Prime factors of 4228 are 2, 7, 151. Prime factorization of 4228 in exponential form is:

4228 = 22 × 71 × 1511

Prime Factorization of 4233

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

4233 = 31 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 4228 and 4233.

LCM(4228,4233) = 22 × 71 × 1511 × 31 × 171 × 831
LCM(4228,4233) = 17897124