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What is the Least Common Multiple of 19023 and 19034?

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 19023 and 19034 is 362083782.

LCM(19023,19034) = 362083782

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Least Common Multiple of 19023 and 19034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19023 and 19034, than apply into the LCM equation.

GCF(19023,19034) = 1
LCM(19023,19034) = ( 19023 × 19034) / 1
LCM(19023,19034) = 362083782 / 1
LCM(19023,19034) = 362083782

Least Common Multiple (LCM) of 19023 and 19034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19023 and 19034. First we will calculate the prime factors of 19023 and 19034.

Prime Factorization of 19023

Prime factors of 19023 are 3, 17, 373. Prime factorization of 19023 in exponential form is:

19023 = 31 × 171 × 3731

Prime Factorization of 19034

Prime factors of 19034 are 2, 31, 307. Prime factorization of 19034 in exponential form is:

19034 = 21 × 311 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 19023 and 19034.

LCM(19023,19034) = 31 × 171 × 3731 × 21 × 311 × 3071
LCM(19023,19034) = 362083782