What is the Least Common Multiple of 29238 and 29253?

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 29238 and 29253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29238 and 29253, than apply into the LCM equation.

GCF(29238,29253) = 3
LCM(29238,29253) = ( 29238 × 29253) / 3
LCM(29238,29253) = 855299214 / 3
LCM(29238,29253) = 285099738

Least Common Multiple (LCM) of 29238 and 29253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29238 and 29253. First we will calculate the prime factors of 29238 and 29253.

Prime Factorization of 29238

Prime Factorization of 29253

Now multiplying the highest exponent prime factors to calculate the LCM of 29238 and 29253.

LCM(29238,29253) = 2¹ × 3¹ × 11¹ × 443¹ × 7² × 199¹
LCM(29238,29253) = 285099738