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What is the Least Common Multiple of 22056 and 22073?

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 22056 and 22073 is 486842088.

LCM(22056,22073) = 486842088

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Least Common Multiple of 22056 and 22073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22056 and 22073, than apply into the LCM equation.

GCF(22056,22073) = 1
LCM(22056,22073) = ( 22056 × 22073) / 1
LCM(22056,22073) = 486842088 / 1
LCM(22056,22073) = 486842088

Least Common Multiple (LCM) of 22056 and 22073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22056 and 22073. First we will calculate the prime factors of 22056 and 22073.

Prime Factorization of 22056

Prime factors of 22056 are 2, 3, 919. Prime factorization of 22056 in exponential form is:

22056 = 23 × 31 × 9191

Prime Factorization of 22073

Prime factors of 22073 are 22073. Prime factorization of 22073 in exponential form is:

22073 = 220731

Now multiplying the highest exponent prime factors to calculate the LCM of 22056 and 22073.

LCM(22056,22073) = 23 × 31 × 9191 × 220731
LCM(22056,22073) = 486842088