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What is the Least Common Multiple of 55456 and 55472?

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 55472 is 192265952.

LCM(55456,55472) = 192265952

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Least Common Multiple of 55456 and 55472 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 55472, than apply into the LCM equation.

GCF(55456,55472) = 16
LCM(55456,55472) = ( 55456 × 55472) / 16
LCM(55456,55472) = 3076255232 / 16
LCM(55456,55472) = 192265952

Least Common Multiple (LCM) of 55456 and 55472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55456 and 55472. First we will calculate the prime factors of 55456 and 55472.

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 55472

Prime factors of 55472 are 2, 3467. Prime factorization of 55472 in exponential form is:

55472 = 24 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 55456 and 55472.

LCM(55456,55472) = 25 × 17331 × 34671
LCM(55456,55472) = 192265952