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What is the Least Common Multiple of 50548 and 50555?

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 50548 and 50555 is 2555454140.

LCM(50548,50555) = 2555454140

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Least Common Multiple of 50548 and 50555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50548 and 50555, than apply into the LCM equation.

GCF(50548,50555) = 1
LCM(50548,50555) = ( 50548 × 50555) / 1
LCM(50548,50555) = 2555454140 / 1
LCM(50548,50555) = 2555454140

Least Common Multiple (LCM) of 50548 and 50555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50548 and 50555. First we will calculate the prime factors of 50548 and 50555.

Prime Factorization of 50548

Prime factors of 50548 are 2, 12637. Prime factorization of 50548 in exponential form is:

50548 = 22 × 126371

Prime Factorization of 50555

Prime factors of 50555 are 5, 10111. Prime factorization of 50555 in exponential form is:

50555 = 51 × 101111

Now multiplying the highest exponent prime factors to calculate the LCM of 50548 and 50555.

LCM(50548,50555) = 22 × 126371 × 51 × 101111
LCM(50548,50555) = 2555454140