What is the Least Common Multiple of 50214 and 50232?

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 50232 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 50232, than apply into the LCM equation.

GCF(50214,50232) = 6
LCM(50214,50232) = ( 50214 × 50232) / 6
LCM(50214,50232) = 2522349648 / 6
LCM(50214,50232) = 420391608

Least Common Multiple (LCM) of 50214 and 50232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50214 and 50232. First we will calculate the prime factors of 50214 and 50232.

Prime Factorization of 50214

Prime Factorization of 50232

Now multiplying the highest exponent prime factors to calculate the LCM of 50214 and 50232.

LCM(50214,50232) = 2³ × 3¹ × 8369¹ × 7¹ × 13¹ × 23¹
LCM(50214,50232) = 420391608