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What is the Least Common Multiple of 50326 and 50335?

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 50326 and 50335 is 2533159210.

LCM(50326,50335) = 2533159210

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Least Common Multiple of 50326 and 50335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50326 and 50335, than apply into the LCM equation.

GCF(50326,50335) = 1
LCM(50326,50335) = ( 50326 × 50335) / 1
LCM(50326,50335) = 2533159210 / 1
LCM(50326,50335) = 2533159210

Least Common Multiple (LCM) of 50326 and 50335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50326 and 50335. First we will calculate the prime factors of 50326 and 50335.

Prime Factorization of 50326

Prime factors of 50326 are 2, 25163. Prime factorization of 50326 in exponential form is:

50326 = 21 × 251631

Prime Factorization of 50335

Prime factors of 50335 are 5, 10067. Prime factorization of 50335 in exponential form is:

50335 = 51 × 100671

Now multiplying the highest exponent prime factors to calculate the LCM of 50326 and 50335.

LCM(50326,50335) = 21 × 251631 × 51 × 100671
LCM(50326,50335) = 2533159210