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What is the Least Common Multiple of 24227 and 24237?

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 24227 and 24237 is 587189799.

LCM(24227,24237) = 587189799

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Least Common Multiple of 24227 and 24237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24227 and 24237, than apply into the LCM equation.

GCF(24227,24237) = 1
LCM(24227,24237) = ( 24227 × 24237) / 1
LCM(24227,24237) = 587189799 / 1
LCM(24227,24237) = 587189799

Least Common Multiple (LCM) of 24227 and 24237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24227 and 24237. First we will calculate the prime factors of 24227 and 24237.

Prime Factorization of 24227

Prime factors of 24227 are 7, 3461. Prime factorization of 24227 in exponential form is:

24227 = 71 × 34611

Prime Factorization of 24237

Prime factors of 24237 are 3, 2693. Prime factorization of 24237 in exponential form is:

24237 = 32 × 26931

Now multiplying the highest exponent prime factors to calculate the LCM of 24227 and 24237.

LCM(24227,24237) = 71 × 34611 × 32 × 26931
LCM(24227,24237) = 587189799