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What is the Least Common Multiple of 55046 and 55058?

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 55046 and 55058 is 1515361334.

LCM(55046,55058) = 1515361334

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Least Common Multiple of 55046 and 55058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55046 and 55058, than apply into the LCM equation.

GCF(55046,55058) = 2
LCM(55046,55058) = ( 55046 × 55058) / 2
LCM(55046,55058) = 3030722668 / 2
LCM(55046,55058) = 1515361334

Least Common Multiple (LCM) of 55046 and 55058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55046 and 55058. First we will calculate the prime factors of 55046 and 55058.

Prime Factorization of 55046

Prime factors of 55046 are 2, 17, 1619. Prime factorization of 55046 in exponential form is:

55046 = 21 × 171 × 16191

Prime Factorization of 55058

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

55058 = 21 × 275291

Now multiplying the highest exponent prime factors to calculate the LCM of 55046 and 55058.

LCM(55046,55058) = 21 × 171 × 16191 × 275291
LCM(55046,55058) = 1515361334