What is the Least Common Multiple of 50380 and 50398?

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 50380 and 50398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50380 and 50398, than apply into the LCM equation.

GCF(50380,50398) = 2
LCM(50380,50398) = ( 50380 × 50398) / 2
LCM(50380,50398) = 2539051240 / 2
LCM(50380,50398) = 1269525620

Least Common Multiple (LCM) of 50380 and 50398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50380 and 50398. First we will calculate the prime factors of 50380 and 50398.

Prime Factorization of 50380

Prime Factorization of 50398

Now multiplying the highest exponent prime factors to calculate the LCM of 50380 and 50398.

LCM(50380,50398) = 2² × 5¹ × 11¹ × 229¹ × 113¹ × 223¹
LCM(50380,50398) = 1269525620