What is the Least Common Multiple of 50214 and 50224?

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 50224 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 50224, than apply into the LCM equation.

GCF(50214,50224) = 2
LCM(50214,50224) = ( 50214 × 50224) / 2
LCM(50214,50224) = 2521947936 / 2
LCM(50214,50224) = 1260973968

Least Common Multiple (LCM) of 50214 and 50224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50214 and 50224. First we will calculate the prime factors of 50214 and 50224.

Prime Factorization of 50214

Prime Factorization of 50224

Now multiplying the highest exponent prime factors to calculate the LCM of 50214 and 50224.

LCM(50214,50224) = 2⁴ × 3¹ × 8369¹ × 43¹ × 73¹
LCM(50214,50224) = 1260973968