What is the Least Common Multiple of 29123 and 29139?

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 29123 and 29139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29123 and 29139, than apply into the LCM equation.

GCF(29123,29139) = 1
LCM(29123,29139) = ( 29123 × 29139) / 1
LCM(29123,29139) = 848615097 / 1
LCM(29123,29139) = 848615097

Least Common Multiple (LCM) of 29123 and 29139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29123 and 29139. First we will calculate the prime factors of 29123 and 29139.

Prime Factorization of 29123

Prime Factorization of 29139

Now multiplying the highest exponent prime factors to calculate the LCM of 29123 and 29139.

LCM(29123,29139) = 29123¹ × 3¹ × 11¹ × 883¹
LCM(29123,29139) = 848615097