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What is the Least Common Multiple of 9048 and 9053?

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 9048 and 9053 is 81911544.

LCM(9048,9053) = 81911544

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Least Common Multiple of 9048 and 9053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9048 and 9053, than apply into the LCM equation.

GCF(9048,9053) = 1
LCM(9048,9053) = ( 9048 × 9053) / 1
LCM(9048,9053) = 81911544 / 1
LCM(9048,9053) = 81911544

Least Common Multiple (LCM) of 9048 and 9053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9048 and 9053. First we will calculate the prime factors of 9048 and 9053.

Prime Factorization of 9048

Prime factors of 9048 are 2, 3, 13, 29. Prime factorization of 9048 in exponential form is:

9048 = 23 × 31 × 131 × 291

Prime Factorization of 9053

Prime factors of 9053 are 11, 823. Prime factorization of 9053 in exponential form is:

9053 = 111 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 9048 and 9053.

LCM(9048,9053) = 23 × 31 × 131 × 291 × 111 × 8231
LCM(9048,9053) = 81911544