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What is the Least Common Multiple of 56528 and 56532?

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 56528 and 56532 is 798910224.

LCM(56528,56532) = 798910224

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Least Common Multiple of 56528 and 56532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56528 and 56532, than apply into the LCM equation.

GCF(56528,56532) = 4
LCM(56528,56532) = ( 56528 × 56532) / 4
LCM(56528,56532) = 3195640896 / 4
LCM(56528,56532) = 798910224

Least Common Multiple (LCM) of 56528 and 56532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56528 and 56532. First we will calculate the prime factors of 56528 and 56532.

Prime Factorization of 56528

Prime factors of 56528 are 2, 3533. Prime factorization of 56528 in exponential form is:

56528 = 24 × 35331

Prime Factorization of 56532

Prime factors of 56532 are 2, 3, 7, 673. Prime factorization of 56532 in exponential form is:

56532 = 22 × 31 × 71 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 56528 and 56532.

LCM(56528,56532) = 24 × 35331 × 31 × 71 × 6731
LCM(56528,56532) = 798910224