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What is the Least Common Multiple of 27233 and 27237?

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 27233 and 27237 is 741745221.

LCM(27233,27237) = 741745221

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Least Common Multiple of 27233 and 27237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27233 and 27237, than apply into the LCM equation.

GCF(27233,27237) = 1
LCM(27233,27237) = ( 27233 × 27237) / 1
LCM(27233,27237) = 741745221 / 1
LCM(27233,27237) = 741745221

Least Common Multiple (LCM) of 27233 and 27237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27233 and 27237. First we will calculate the prime factors of 27233 and 27237.

Prime Factorization of 27233

Prime factors of 27233 are 113, 241. Prime factorization of 27233 in exponential form is:

27233 = 1131 × 2411

Prime Factorization of 27237

Prime factors of 27237 are 3, 7, 1297. Prime factorization of 27237 in exponential form is:

27237 = 31 × 71 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 27233 and 27237.

LCM(27233,27237) = 1131 × 2411 × 31 × 71 × 12971
LCM(27233,27237) = 741745221