What is the Least Common Multiple of 14232 and 14252?

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 14232 and 14252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14232 and 14252, than apply into the LCM equation.

GCF(14232,14252) = 4
LCM(14232,14252) = ( 14232 × 14252) / 4
LCM(14232,14252) = 202834464 / 4
LCM(14232,14252) = 50708616

Least Common Multiple (LCM) of 14232 and 14252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14232 and 14252. First we will calculate the prime factors of 14232 and 14252.

Prime Factorization of 14232

Prime Factorization of 14252

Now multiplying the highest exponent prime factors to calculate the LCM of 14232 and 14252.

LCM(14232,14252) = 2³ × 3¹ × 593¹ × 7¹ × 509¹
LCM(14232,14252) = 50708616