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What is the Least Common Multiple of 55456 and 55473?

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 55456 and 55473 is 3076310688.

LCM(55456,55473) = 3076310688

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Least Common Multiple of 55456 and 55473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55456 and 55473, than apply into the LCM equation.

GCF(55456,55473) = 1
LCM(55456,55473) = ( 55456 × 55473) / 1
LCM(55456,55473) = 3076310688 / 1
LCM(55456,55473) = 3076310688

Least Common Multiple (LCM) of 55456 and 55473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55456 and 55473. First we will calculate the prime factors of 55456 and 55473.

Prime Factorization of 55456

Prime factors of 55456 are 2, 1733. Prime factorization of 55456 in exponential form is:

55456 = 25 × 17331

Prime Factorization of 55473

Prime factors of 55473 are 3, 11, 41. Prime factorization of 55473 in exponential form is:

55473 = 31 × 111 × 412

Now multiplying the highest exponent prime factors to calculate the LCM of 55456 and 55473.

LCM(55456,55473) = 25 × 17331 × 31 × 111 × 412
LCM(55456,55473) = 3076310688