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What is the Least Common Multiple of 22084 and 22093?

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 22084 and 22093 is 487901812.

LCM(22084,22093) = 487901812

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Least Common Multiple of 22084 and 22093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22084 and 22093, than apply into the LCM equation.

GCF(22084,22093) = 1
LCM(22084,22093) = ( 22084 × 22093) / 1
LCM(22084,22093) = 487901812 / 1
LCM(22084,22093) = 487901812

Least Common Multiple (LCM) of 22084 and 22093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22084 and 22093. First we will calculate the prime factors of 22084 and 22093.

Prime Factorization of 22084

Prime factors of 22084 are 2, 5521. Prime factorization of 22084 in exponential form is:

22084 = 22 × 55211

Prime Factorization of 22093

Prime factors of 22093 are 22093. Prime factorization of 22093 in exponential form is:

22093 = 220931

Now multiplying the highest exponent prime factors to calculate the LCM of 22084 and 22093.

LCM(22084,22093) = 22 × 55211 × 220931
LCM(22084,22093) = 487901812