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What is the Least Common Multiple of 50555 and 50568?

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 50555 and 50568 is 2556465240.

LCM(50555,50568) = 2556465240

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Least Common Multiple of 50555 and 50568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50555 and 50568, than apply into the LCM equation.

GCF(50555,50568) = 1
LCM(50555,50568) = ( 50555 × 50568) / 1
LCM(50555,50568) = 2556465240 / 1
LCM(50555,50568) = 2556465240

Least Common Multiple (LCM) of 50555 and 50568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50555 and 50568. First we will calculate the prime factors of 50555 and 50568.

Prime Factorization of 50555

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

50555 = 51 × 101111

Prime Factorization of 50568

Prime factors of 50568 are 2, 3, 7, 43. Prime factorization of 50568 in exponential form is:

50568 = 23 × 31 × 72 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 50555 and 50568.

LCM(50555,50568) = 51 × 101111 × 23 × 31 × 72 × 431
LCM(50555,50568) = 2556465240