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What is the Least Common Multiple of 9040 and 9048?

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 9040 and 9048 is 10224240.

LCM(9040,9048) = 10224240

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Least Common Multiple of 9040 and 9048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9040 and 9048, than apply into the LCM equation.

GCF(9040,9048) = 8
LCM(9040,9048) = ( 9040 × 9048) / 8
LCM(9040,9048) = 81793920 / 8
LCM(9040,9048) = 10224240

Least Common Multiple (LCM) of 9040 and 9048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9040 and 9048. First we will calculate the prime factors of 9040 and 9048.

Prime Factorization of 9040

Prime factors of 9040 are 2, 5, 113. Prime factorization of 9040 in exponential form is:

9040 = 24 × 51 × 1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9040 and 9048.

LCM(9040,9048) = 24 × 51 × 1131 × 31 × 131 × 291
LCM(9040,9048) = 10224240