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What is the Least Common Multiple of 55024 and 55034?

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 55024 and 55034 is 1514095408.

LCM(55024,55034) = 1514095408

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Least Common Multiple of 55024 and 55034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55024 and 55034, than apply into the LCM equation.

GCF(55024,55034) = 2
LCM(55024,55034) = ( 55024 × 55034) / 2
LCM(55024,55034) = 3028190816 / 2
LCM(55024,55034) = 1514095408

Least Common Multiple (LCM) of 55024 and 55034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55024 and 55034. First we will calculate the prime factors of 55024 and 55034.

Prime Factorization of 55024

Prime factors of 55024 are 2, 19, 181. Prime factorization of 55024 in exponential form is:

55024 = 24 × 191 × 1811

Prime Factorization of 55034

Prime factors of 55034 are 2, 7, 3931. Prime factorization of 55034 in exponential form is:

55034 = 21 × 71 × 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 55024 and 55034.

LCM(55024,55034) = 24 × 191 × 1811 × 71 × 39311
LCM(55024,55034) = 1514095408