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What is the Least Common Multiple of 22030 and 22044?

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 22030 and 22044 is 242814660.

LCM(22030,22044) = 242814660

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Least Common Multiple of 22030 and 22044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22030 and 22044, than apply into the LCM equation.

GCF(22030,22044) = 2
LCM(22030,22044) = ( 22030 × 22044) / 2
LCM(22030,22044) = 485629320 / 2
LCM(22030,22044) = 242814660

Least Common Multiple (LCM) of 22030 and 22044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22030 and 22044. First we will calculate the prime factors of 22030 and 22044.

Prime Factorization of 22030

Prime factors of 22030 are 2, 5, 2203. Prime factorization of 22030 in exponential form is:

22030 = 21 × 51 × 22031

Prime Factorization of 22044

Prime factors of 22044 are 2, 3, 11, 167. Prime factorization of 22044 in exponential form is:

22044 = 22 × 31 × 111 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 22030 and 22044.

LCM(22030,22044) = 22 × 51 × 22031 × 31 × 111 × 1671
LCM(22030,22044) = 242814660