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What is the Least Common Multiple of 56028 and 56032?

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 56028 and 56032 is 784840224.

LCM(56028,56032) = 784840224

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Least Common Multiple of 56028 and 56032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56028 and 56032, than apply into the LCM equation.

GCF(56028,56032) = 4
LCM(56028,56032) = ( 56028 × 56032) / 4
LCM(56028,56032) = 3139360896 / 4
LCM(56028,56032) = 784840224

Least Common Multiple (LCM) of 56028 and 56032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56028 and 56032. First we will calculate the prime factors of 56028 and 56032.

Prime Factorization of 56028

Prime factors of 56028 are 2, 3, 7, 23, 29. Prime factorization of 56028 in exponential form is:

56028 = 22 × 31 × 71 × 231 × 291

Prime Factorization of 56032

Prime factors of 56032 are 2, 17, 103. Prime factorization of 56032 in exponential form is:

56032 = 25 × 171 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 56028 and 56032.

LCM(56028,56032) = 25 × 31 × 71 × 231 × 291 × 171 × 1031
LCM(56028,56032) = 784840224