What is the Least Common Multiple of 20214 and 20218?

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 20214 and 20218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20214 and 20218, than apply into the LCM equation.

GCF(20214,20218) = 2
LCM(20214,20218) = ( 20214 × 20218) / 2
LCM(20214,20218) = 408686652 / 2
LCM(20214,20218) = 204343326

Least Common Multiple (LCM) of 20214 and 20218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20214 and 20218. First we will calculate the prime factors of 20214 and 20218.

Prime Factorization of 20214

Prime Factorization of 20218

Now multiplying the highest exponent prime factors to calculate the LCM of 20214 and 20218.

LCM(20214,20218) = 2¹ × 3² × 1123¹ × 11¹ × 919¹
LCM(20214,20218) = 204343326