What is the Least Common Multiple of 29234 and 29251?

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 29234 and 29251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29234 and 29251, than apply into the LCM equation.

GCF(29234,29251) = 1
LCM(29234,29251) = ( 29234 × 29251) / 1
LCM(29234,29251) = 855123734 / 1
LCM(29234,29251) = 855123734

Least Common Multiple (LCM) of 29234 and 29251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29234 and 29251. First we will calculate the prime factors of 29234 and 29251.

Prime Factorization of 29234

Prime Factorization of 29251

Now multiplying the highest exponent prime factors to calculate the LCM of 29234 and 29251.

LCM(29234,29251) = 2¹ × 47¹ × 311¹ × 29251¹
LCM(29234,29251) = 855123734