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What is the Least Common Multiple of 9042 and 9047?

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 9042 and 9047 is 81802974.

LCM(9042,9047) = 81802974

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Least Common Multiple of 9042 and 9047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9042 and 9047, than apply into the LCM equation.

GCF(9042,9047) = 1
LCM(9042,9047) = ( 9042 × 9047) / 1
LCM(9042,9047) = 81802974 / 1
LCM(9042,9047) = 81802974

Least Common Multiple (LCM) of 9042 and 9047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9042 and 9047. First we will calculate the prime factors of 9042 and 9047.

Prime Factorization of 9042

Prime factors of 9042 are 2, 3, 11, 137. Prime factorization of 9042 in exponential form is:

9042 = 21 × 31 × 111 × 1371

Prime Factorization of 9047

Prime factors of 9047 are 83, 109. Prime factorization of 9047 in exponential form is:

9047 = 831 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9042 and 9047.

LCM(9042,9047) = 21 × 31 × 111 × 1371 × 831 × 1091
LCM(9042,9047) = 81802974