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What is the Least Common Multiple of 12205 and 12220?

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 12205 and 12220 is 29829020.

LCM(12205,12220) = 29829020

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Least Common Multiple of 12205 and 12220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12205 and 12220, than apply into the LCM equation.

GCF(12205,12220) = 5
LCM(12205,12220) = ( 12205 × 12220) / 5
LCM(12205,12220) = 149145100 / 5
LCM(12205,12220) = 29829020

Least Common Multiple (LCM) of 12205 and 12220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12205 and 12220. First we will calculate the prime factors of 12205 and 12220.

Prime Factorization of 12205

Prime factors of 12205 are 5, 2441. Prime factorization of 12205 in exponential form is:

12205 = 51 × 24411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12205 and 12220.

LCM(12205,12220) = 51 × 24411 × 22 × 131 × 471
LCM(12205,12220) = 29829020