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What is the Least Common Multiple of 44223 and 44234?

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 44223 and 44234 is 1956160182.

LCM(44223,44234) = 1956160182

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Least Common Multiple of 44223 and 44234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44223 and 44234, than apply into the LCM equation.

GCF(44223,44234) = 1
LCM(44223,44234) = ( 44223 × 44234) / 1
LCM(44223,44234) = 1956160182 / 1
LCM(44223,44234) = 1956160182

Least Common Multiple (LCM) of 44223 and 44234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44223 and 44234. First we will calculate the prime factors of 44223 and 44234.

Prime Factorization of 44223

Prime factors of 44223 are 3, 14741. Prime factorization of 44223 in exponential form is:

44223 = 31 × 147411

Prime Factorization of 44234

Prime factors of 44234 are 2, 17, 1301. Prime factorization of 44234 in exponential form is:

44234 = 21 × 171 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 44223 and 44234.

LCM(44223,44234) = 31 × 147411 × 21 × 171 × 13011
LCM(44223,44234) = 1956160182