What is the Least Common Multiple of 50333 and 50337?

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 of 50333 and 50337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50333 and 50337, than apply into the LCM equation.

GCF(50333,50337) = 1
LCM(50333,50337) = ( 50333 × 50337) / 1
LCM(50333,50337) = 2533612221 / 1
LCM(50333,50337) = 2533612221

Least Common Multiple (LCM) of 50333 and 50337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50333 and 50337. First we will calculate the prime factors of 50333 and 50337.

Prime Factorization of 50333

Prime Factorization of 50337

Now multiplying the highest exponent prime factors to calculate the LCM of 50333 and 50337.

LCM(50333,50337) = 50333¹ × 3² × 7¹ × 17¹ × 47¹
LCM(50333,50337) = 2533612221