What is the Least Common Multiple of 50414 and 50427?

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 50414 and 50427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50414 and 50427, than apply into the LCM equation.

GCF(50414,50427) = 13
LCM(50414,50427) = ( 50414 × 50427) / 13
LCM(50414,50427) = 2542226778 / 13
LCM(50414,50427) = 195555906

Least Common Multiple (LCM) of 50414 and 50427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50414 and 50427. First we will calculate the prime factors of 50414 and 50427.

Prime Factorization of 50414

Prime Factorization of 50427

Now multiplying the highest exponent prime factors to calculate the LCM of 50414 and 50427.

LCM(50414,50427) = 2¹ × 7¹ × 13¹ × 277¹ × 3² × 431¹
LCM(50414,50427) = 195555906