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What is the Least Common Multiple of 55075 and 55083?

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 55075 and 55083 is 3033696225.

LCM(55075,55083) = 3033696225

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Least Common Multiple of 55075 and 55083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55075 and 55083, than apply into the LCM equation.

GCF(55075,55083) = 1
LCM(55075,55083) = ( 55075 × 55083) / 1
LCM(55075,55083) = 3033696225 / 1
LCM(55075,55083) = 3033696225

Least Common Multiple (LCM) of 55075 and 55083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55075 and 55083. First we will calculate the prime factors of 55075 and 55083.

Prime Factorization of 55075

Prime factors of 55075 are 5, 2203. Prime factorization of 55075 in exponential form is:

55075 = 52 × 22031

Prime Factorization of 55083

Prime factors of 55083 are 3, 7, 43, 61. Prime factorization of 55083 in exponential form is:

55083 = 31 × 71 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 55075 and 55083.

LCM(55075,55083) = 52 × 22031 × 31 × 71 × 431 × 611
LCM(55075,55083) = 3033696225