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What is the Least Common Multiple of 22274 and 22294?

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 22274 and 22294 is 248288278.

LCM(22274,22294) = 248288278

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Least Common Multiple of 22274 and 22294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22274 and 22294, than apply into the LCM equation.

GCF(22274,22294) = 2
LCM(22274,22294) = ( 22274 × 22294) / 2
LCM(22274,22294) = 496576556 / 2
LCM(22274,22294) = 248288278

Least Common Multiple (LCM) of 22274 and 22294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22274 and 22294. First we will calculate the prime factors of 22274 and 22294.

Prime Factorization of 22274

Prime factors of 22274 are 2, 7, 37, 43. Prime factorization of 22274 in exponential form is:

22274 = 21 × 71 × 371 × 431

Prime Factorization of 22294

Prime factors of 22294 are 2, 71, 157. Prime factorization of 22294 in exponential form is:

22294 = 21 × 711 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 22274 and 22294.

LCM(22274,22294) = 21 × 71 × 371 × 431 × 711 × 1571
LCM(22274,22294) = 248288278