What is the Least Common Multiple of 50393 and 50411?

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 50393 and 50411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50393 and 50411, than apply into the LCM equation.

GCF(50393,50411) = 1
LCM(50393,50411) = ( 50393 × 50411) / 1
LCM(50393,50411) = 2540361523 / 1
LCM(50393,50411) = 2540361523

Least Common Multiple (LCM) of 50393 and 50411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50393 and 50411. First we will calculate the prime factors of 50393 and 50411.

Prime Factorization of 50393

Prime Factorization of 50411

Now multiplying the highest exponent prime factors to calculate the LCM of 50393 and 50411.

LCM(50393,50411) = 7¹ × 23¹ × 313¹ × 50411¹
LCM(50393,50411) = 2540361523