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What is the Least Common Multiple of 28520 and 28531?

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 28520 and 28531 is 813704120.

LCM(28520,28531) = 813704120

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Least Common Multiple of 28520 and 28531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28520 and 28531, than apply into the LCM equation.

GCF(28520,28531) = 1
LCM(28520,28531) = ( 28520 × 28531) / 1
LCM(28520,28531) = 813704120 / 1
LCM(28520,28531) = 813704120

Least Common Multiple (LCM) of 28520 and 28531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28520 and 28531. First we will calculate the prime factors of 28520 and 28531.

Prime Factorization of 28520

Prime factors of 28520 are 2, 5, 23, 31. Prime factorization of 28520 in exponential form is:

28520 = 23 × 51 × 231 × 311

Prime Factorization of 28531

Prime factors of 28531 are 103, 277. Prime factorization of 28531 in exponential form is:

28531 = 1031 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 28520 and 28531.

LCM(28520,28531) = 23 × 51 × 231 × 311 × 1031 × 2771
LCM(28520,28531) = 813704120