What is the Least Common Multiple of 50398 and 50414?

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 50398 and 50414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50398 and 50414, than apply into the LCM equation.

GCF(50398,50414) = 2
LCM(50398,50414) = ( 50398 × 50414) / 2
LCM(50398,50414) = 2540764772 / 2
LCM(50398,50414) = 1270382386

Least Common Multiple (LCM) of 50398 and 50414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50398 and 50414. First we will calculate the prime factors of 50398 and 50414.

Prime Factorization of 50398

Prime Factorization of 50414

Now multiplying the highest exponent prime factors to calculate the LCM of 50398 and 50414.

LCM(50398,50414) = 2¹ × 113¹ × 223¹ × 7¹ × 13¹ × 277¹
LCM(50398,50414) = 1270382386