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What is the Least Common Multiple of 55072 and 55084?

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 55072 and 55084 is 758396512.

LCM(55072,55084) = 758396512

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Least Common Multiple of 55072 and 55084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55072 and 55084, than apply into the LCM equation.

GCF(55072,55084) = 4
LCM(55072,55084) = ( 55072 × 55084) / 4
LCM(55072,55084) = 3033586048 / 4
LCM(55072,55084) = 758396512

Least Common Multiple (LCM) of 55072 and 55084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55072 and 55084. First we will calculate the prime factors of 55072 and 55084.

Prime Factorization of 55072

Prime factors of 55072 are 2, 1721. Prime factorization of 55072 in exponential form is:

55072 = 25 × 17211

Prime Factorization of 55084

Prime factors of 55084 are 2, 47, 293. Prime factorization of 55084 in exponential form is:

55084 = 22 × 471 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 55072 and 55084.

LCM(55072,55084) = 25 × 17211 × 471 × 2931
LCM(55072,55084) = 758396512