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What is the Least Common Multiple of 19028 and 19047?

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 19028 and 19047 is 362426316.

LCM(19028,19047) = 362426316

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Least Common Multiple of 19028 and 19047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19028 and 19047, than apply into the LCM equation.

GCF(19028,19047) = 1
LCM(19028,19047) = ( 19028 × 19047) / 1
LCM(19028,19047) = 362426316 / 1
LCM(19028,19047) = 362426316

Least Common Multiple (LCM) of 19028 and 19047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19028 and 19047. First we will calculate the prime factors of 19028 and 19047.

Prime Factorization of 19028

Prime factors of 19028 are 2, 67, 71. Prime factorization of 19028 in exponential form is:

19028 = 22 × 671 × 711

Prime Factorization of 19047

Prime factors of 19047 are 3, 7, 907. Prime factorization of 19047 in exponential form is:

19047 = 31 × 71 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 19028 and 19047.

LCM(19028,19047) = 22 × 671 × 711 × 31 × 71 × 9071
LCM(19028,19047) = 362426316