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What is the Least Common Multiple of 56782 and 56789?

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 56782 and 56789 is 3224592998.

LCM(56782,56789) = 3224592998

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Least Common Multiple of 56782 and 56789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56782 and 56789, than apply into the LCM equation.

GCF(56782,56789) = 1
LCM(56782,56789) = ( 56782 × 56789) / 1
LCM(56782,56789) = 3224592998 / 1
LCM(56782,56789) = 3224592998

Least Common Multiple (LCM) of 56782 and 56789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56782 and 56789. First we will calculate the prime factors of 56782 and 56789.

Prime Factorization of 56782

Prime factors of 56782 are 2, 11, 29, 89. Prime factorization of 56782 in exponential form is:

56782 = 21 × 111 × 291 × 891

Prime Factorization of 56789

Prime factors of 56789 are 109, 521. Prime factorization of 56789 in exponential form is:

56789 = 1091 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 56782 and 56789.

LCM(56782,56789) = 21 × 111 × 291 × 891 × 1091 × 5211
LCM(56782,56789) = 3224592998