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What is the Least Common Multiple of 22056 and 22060?

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 22060 is 121638840.

LCM(22056,22060) = 121638840

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Least Common Multiple of 22056 and 22060 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 22060, than apply into the LCM equation.

GCF(22056,22060) = 4
LCM(22056,22060) = ( 22056 × 22060) / 4
LCM(22056,22060) = 486555360 / 4
LCM(22056,22060) = 121638840

Least Common Multiple (LCM) of 22056 and 22060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22056 and 22060. First we will calculate the prime factors of 22056 and 22060.

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 22060

Prime factors of 22060 are 2, 5, 1103. Prime factorization of 22060 in exponential form is:

22060 = 22 × 51 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 22056 and 22060.

LCM(22056,22060) = 23 × 31 × 9191 × 51 × 11031
LCM(22056,22060) = 121638840