What is the Least Common Multiple of 29140 and 29149?

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 29140 and 29149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29140 and 29149, than apply into the LCM equation.

GCF(29140,29149) = 1
LCM(29140,29149) = ( 29140 × 29149) / 1
LCM(29140,29149) = 849401860 / 1
LCM(29140,29149) = 849401860

Least Common Multiple (LCM) of 29140 and 29149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29140 and 29149. First we will calculate the prime factors of 29140 and 29149.

Prime Factorization of 29140

Prime Factorization of 29149

Now multiplying the highest exponent prime factors to calculate the LCM of 29140 and 29149.

LCM(29140,29149) = 2² × 5¹ × 31¹ × 47¹ × 103¹ × 283¹
LCM(29140,29149) = 849401860