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What is the Least Common Multiple of 22088 and 22094?

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 22088 and 22094 is 244006136.

LCM(22088,22094) = 244006136

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Least Common Multiple of 22088 and 22094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22088 and 22094, than apply into the LCM equation.

GCF(22088,22094) = 2
LCM(22088,22094) = ( 22088 × 22094) / 2
LCM(22088,22094) = 488012272 / 2
LCM(22088,22094) = 244006136

Least Common Multiple (LCM) of 22088 and 22094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22088 and 22094. First we will calculate the prime factors of 22088 and 22094.

Prime Factorization of 22088

Prime factors of 22088 are 2, 11, 251. Prime factorization of 22088 in exponential form is:

22088 = 23 × 111 × 2511

Prime Factorization of 22094

Prime factors of 22094 are 2, 11047. Prime factorization of 22094 in exponential form is:

22094 = 21 × 110471

Now multiplying the highest exponent prime factors to calculate the LCM of 22088 and 22094.

LCM(22088,22094) = 23 × 111 × 2511 × 110471
LCM(22088,22094) = 244006136