What is the Least Common Multiple of 14212 and 14232?

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 14212 and 14232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14212 and 14232, than apply into the LCM equation.

GCF(14212,14232) = 4
LCM(14212,14232) = ( 14212 × 14232) / 4
LCM(14212,14232) = 202265184 / 4
LCM(14212,14232) = 50566296

Least Common Multiple (LCM) of 14212 and 14232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14212 and 14232. First we will calculate the prime factors of 14212 and 14232.

Prime Factorization of 14212

Prime Factorization of 14232

Now multiplying the highest exponent prime factors to calculate the LCM of 14212 and 14232.

LCM(14212,14232) = 2³ × 11¹ × 17¹ × 19¹ × 3¹ × 593¹
LCM(14212,14232) = 50566296