What is the Least Common Multiple of 50214 and 50234?

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 50214 and 50234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50214 and 50234, than apply into the LCM equation.

GCF(50214,50234) = 2
LCM(50214,50234) = ( 50214 × 50234) / 2
LCM(50214,50234) = 2522450076 / 2
LCM(50214,50234) = 1261225038

Least Common Multiple (LCM) of 50214 and 50234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50214 and 50234. First we will calculate the prime factors of 50214 and 50234.

Prime Factorization of 50214

Prime Factorization of 50234

Now multiplying the highest exponent prime factors to calculate the LCM of 50214 and 50234.

LCM(50214,50234) = 2¹ × 3¹ × 8369¹ × 25117¹
LCM(50214,50234) = 1261225038