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What is the Least Common Multiple of 55058 and 55078?

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 55058 and 55078 is 1516242262.

LCM(55058,55078) = 1516242262

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Least Common Multiple of 55058 and 55078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55058 and 55078, than apply into the LCM equation.

GCF(55058,55078) = 2
LCM(55058,55078) = ( 55058 × 55078) / 2
LCM(55058,55078) = 3032484524 / 2
LCM(55058,55078) = 1516242262

Least Common Multiple (LCM) of 55058 and 55078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55058 and 55078. First we will calculate the prime factors of 55058 and 55078.

Prime Factorization of 55058

Prime factors of 55058 are 2, 27529. Prime factorization of 55058 in exponential form is:

55058 = 21 × 275291

Prime Factorization of 55078

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

55078 = 21 × 275391

Now multiplying the highest exponent prime factors to calculate the LCM of 55058 and 55078.

LCM(55058,55078) = 21 × 275291 × 275391
LCM(55058,55078) = 1516242262