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What is the Least Common Multiple of 30224 and 30233?

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 30224 and 30233 is 913762192.

LCM(30224,30233) = 913762192

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Least Common Multiple of 30224 and 30233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30224 and 30233, than apply into the LCM equation.

GCF(30224,30233) = 1
LCM(30224,30233) = ( 30224 × 30233) / 1
LCM(30224,30233) = 913762192 / 1
LCM(30224,30233) = 913762192

Least Common Multiple (LCM) of 30224 and 30233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30224 and 30233. First we will calculate the prime factors of 30224 and 30233.

Prime Factorization of 30224

Prime factors of 30224 are 2, 1889. Prime factorization of 30224 in exponential form is:

30224 = 24 × 18891

Prime Factorization of 30233

Prime factors of 30233 are 7, 617. Prime factorization of 30233 in exponential form is:

30233 = 72 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 30224 and 30233.

LCM(30224,30233) = 24 × 18891 × 72 × 6171
LCM(30224,30233) = 913762192