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What is the Least Common Multiple of 56441 and 56452?

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 56441 and 56452 is 289655212.

LCM(56441,56452) = 289655212

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Least Common Multiple of 56441 and 56452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56441 and 56452, than apply into the LCM equation.

GCF(56441,56452) = 11
LCM(56441,56452) = ( 56441 × 56452) / 11
LCM(56441,56452) = 3186207332 / 11
LCM(56441,56452) = 289655212

Least Common Multiple (LCM) of 56441 and 56452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56441 and 56452. First we will calculate the prime factors of 56441 and 56452.

Prime Factorization of 56441

Prime factors of 56441 are 7, 11, 733. Prime factorization of 56441 in exponential form is:

56441 = 71 × 111 × 7331

Prime Factorization of 56452

Prime factors of 56452 are 2, 11, 1283. Prime factorization of 56452 in exponential form is:

56452 = 22 × 111 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 56441 and 56452.

LCM(56441,56452) = 71 × 111 × 7331 × 22 × 12831
LCM(56441,56452) = 289655212