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What is the Least Common Multiple of 28524 and 28540?

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 28524 and 28540 is 203518740.

LCM(28524,28540) = 203518740

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Least Common Multiple of 28524 and 28540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28524 and 28540, than apply into the LCM equation.

GCF(28524,28540) = 4
LCM(28524,28540) = ( 28524 × 28540) / 4
LCM(28524,28540) = 814074960 / 4
LCM(28524,28540) = 203518740

Least Common Multiple (LCM) of 28524 and 28540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28524 and 28540. First we will calculate the prime factors of 28524 and 28540.

Prime Factorization of 28524

Prime factors of 28524 are 2, 3, 2377. Prime factorization of 28524 in exponential form is:

28524 = 22 × 31 × 23771

Prime Factorization of 28540

Prime factors of 28540 are 2, 5, 1427. Prime factorization of 28540 in exponential form is:

28540 = 22 × 51 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 28524 and 28540.

LCM(28524,28540) = 22 × 31 × 23771 × 51 × 14271
LCM(28524,28540) = 203518740