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What is the Least Common Multiple of 9042 and 9054?

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 9054 is 13644378.

LCM(9042,9054) = 13644378

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Least Common Multiple of 9042 and 9054 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 9054, than apply into the LCM equation.

GCF(9042,9054) = 6
LCM(9042,9054) = ( 9042 × 9054) / 6
LCM(9042,9054) = 81866268 / 6
LCM(9042,9054) = 13644378

Least Common Multiple (LCM) of 9042 and 9054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9042 and 9054. First we will calculate the prime factors of 9042 and 9054.

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 9054

Prime factors of 9054 are 2, 3, 503. Prime factorization of 9054 in exponential form is:

9054 = 21 × 32 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 9042 and 9054.

LCM(9042,9054) = 21 × 32 × 111 × 1371 × 5031
LCM(9042,9054) = 13644378