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What is the Least Common Multiple of 28013 and 28032?

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 28013 and 28032 is 785260416.

LCM(28013,28032) = 785260416

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Least Common Multiple of 28013 and 28032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28013 and 28032, than apply into the LCM equation.

GCF(28013,28032) = 1
LCM(28013,28032) = ( 28013 × 28032) / 1
LCM(28013,28032) = 785260416 / 1
LCM(28013,28032) = 785260416

Least Common Multiple (LCM) of 28013 and 28032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28013 and 28032. First we will calculate the prime factors of 28013 and 28032.

Prime Factorization of 28013

Prime factors of 28013 are 109, 257. Prime factorization of 28013 in exponential form is:

28013 = 1091 × 2571

Prime Factorization of 28032

Prime factors of 28032 are 2, 3, 73. Prime factorization of 28032 in exponential form is:

28032 = 27 × 31 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 28013 and 28032.

LCM(28013,28032) = 1091 × 2571 × 27 × 31 × 731
LCM(28013,28032) = 785260416