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What is the Least Common Multiple of 2528 and 2532?

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 2528 and 2532 is 1600224.

LCM(2528,2532) = 1600224

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Least Common Multiple of 2528 and 2532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2528 and 2532, than apply into the LCM equation.

GCF(2528,2532) = 4
LCM(2528,2532) = ( 2528 × 2532) / 4
LCM(2528,2532) = 6400896 / 4
LCM(2528,2532) = 1600224

Least Common Multiple (LCM) of 2528 and 2532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2528 and 2532. First we will calculate the prime factors of 2528 and 2532.

Prime Factorization of 2528

Prime factors of 2528 are 2, 79. Prime factorization of 2528 in exponential form is:

2528 = 25 × 791

Prime Factorization of 2532

Prime factors of 2532 are 2, 3, 211. Prime factorization of 2532 in exponential form is:

2532 = 22 × 31 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 2528 and 2532.

LCM(2528,2532) = 25 × 791 × 31 × 2111
LCM(2528,2532) = 1600224