What is the Least Common Multiple of 29139 and 29148?

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 29139 and 29148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29139 and 29148, than apply into the LCM equation.

GCF(29139,29148) = 3
LCM(29139,29148) = ( 29139 × 29148) / 3
LCM(29139,29148) = 849343572 / 3
LCM(29139,29148) = 283114524

Least Common Multiple (LCM) of 29139 and 29148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29139 and 29148. First we will calculate the prime factors of 29139 and 29148.

Prime Factorization of 29139

Prime Factorization of 29148

Now multiplying the highest exponent prime factors to calculate the LCM of 29139 and 29148.

LCM(29139,29148) = 3¹ × 11¹ × 883¹ × 2² × 7¹ × 347¹
LCM(29139,29148) = 283114524