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What is the Least Common Multiple of 12220 and 12238?

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 12220 and 12238 is 74774180.

LCM(12220,12238) = 74774180

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Least Common Multiple of 12220 and 12238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12220 and 12238, than apply into the LCM equation.

GCF(12220,12238) = 2
LCM(12220,12238) = ( 12220 × 12238) / 2
LCM(12220,12238) = 149548360 / 2
LCM(12220,12238) = 74774180

Least Common Multiple (LCM) of 12220 and 12238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12220 and 12238. First we will calculate the prime factors of 12220 and 12238.

Prime Factorization of 12220

Prime factors of 12220 are 2, 5, 13, 47. Prime factorization of 12220 in exponential form is:

12220 = 22 × 51 × 131 × 471

Prime Factorization of 12238

Prime factors of 12238 are 2, 29, 211. Prime factorization of 12238 in exponential form is:

12238 = 21 × 291 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 12220 and 12238.

LCM(12220,12238) = 22 × 51 × 131 × 471 × 291 × 2111
LCM(12220,12238) = 74774180