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What is the Least Common Multiple of 19016 and 19033?

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 19016 and 19033 is 361931528.

LCM(19016,19033) = 361931528

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Least Common Multiple of 19016 and 19033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19016 and 19033, than apply into the LCM equation.

GCF(19016,19033) = 1
LCM(19016,19033) = ( 19016 × 19033) / 1
LCM(19016,19033) = 361931528 / 1
LCM(19016,19033) = 361931528

Least Common Multiple (LCM) of 19016 and 19033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19016 and 19033. First we will calculate the prime factors of 19016 and 19033.

Prime Factorization of 19016

Prime factors of 19016 are 2, 2377. Prime factorization of 19016 in exponential form is:

19016 = 23 × 23771

Prime Factorization of 19033

Prime factors of 19033 are 7, 2719. Prime factorization of 19033 in exponential form is:

19033 = 71 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 19016 and 19033.

LCM(19016,19033) = 23 × 23771 × 71 × 27191
LCM(19016,19033) = 361931528