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What is the Least Common Multiple of 55078 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 55078 and 55084 is 1516958276.

LCM(55078,55084) = 1516958276

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Least Common Multiple of 55078 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 55078 and 55084, than apply into the LCM equation.

GCF(55078,55084) = 2
LCM(55078,55084) = ( 55078 × 55084) / 2
LCM(55078,55084) = 3033916552 / 2
LCM(55078,55084) = 1516958276

Least Common Multiple (LCM) of 55078 and 55084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55078 and 55084. First we will calculate the prime factors of 55078 and 55084.

Prime Factorization of 55078

Prime factors of 55078 are 2, 27539. Prime factorization of 55078 in exponential form is:

55078 = 21 × 275391

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 55078 and 55084.

LCM(55078,55084) = 22 × 275391 × 471 × 2931
LCM(55078,55084) = 1516958276