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What is the Least Common Multiple of 19021 and 19039?

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 19021 and 19039 is 362140819.

LCM(19021,19039) = 362140819

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Least Common Multiple of 19021 and 19039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19021 and 19039, than apply into the LCM equation.

GCF(19021,19039) = 1
LCM(19021,19039) = ( 19021 × 19039) / 1
LCM(19021,19039) = 362140819 / 1
LCM(19021,19039) = 362140819

Least Common Multiple (LCM) of 19021 and 19039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19021 and 19039. First we will calculate the prime factors of 19021 and 19039.

Prime Factorization of 19021

Prime factors of 19021 are 23, 827. Prime factorization of 19021 in exponential form is:

19021 = 231 × 8271

Prime Factorization of 19039

Prime factors of 19039 are 79, 241. Prime factorization of 19039 in exponential form is:

19039 = 791 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 19021 and 19039.

LCM(19021,19039) = 231 × 8271 × 791 × 2411
LCM(19021,19039) = 362140819