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What is the Least Common Multiple of 19421 and 19433?

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 19421 and 19433 is 377408293.

LCM(19421,19433) = 377408293

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Least Common Multiple of 19421 and 19433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19421 and 19433, than apply into the LCM equation.

GCF(19421,19433) = 1
LCM(19421,19433) = ( 19421 × 19433) / 1
LCM(19421,19433) = 377408293 / 1
LCM(19421,19433) = 377408293

Least Common Multiple (LCM) of 19421 and 19433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19421 and 19433. First we will calculate the prime factors of 19421 and 19433.

Prime Factorization of 19421

Prime factors of 19421 are 19421. Prime factorization of 19421 in exponential form is:

19421 = 194211

Prime Factorization of 19433

Prime factors of 19433 are 19433. Prime factorization of 19433 in exponential form is:

19433 = 194331

Now multiplying the highest exponent prime factors to calculate the LCM of 19421 and 19433.

LCM(19421,19433) = 194211 × 194331
LCM(19421,19433) = 377408293