What is the Least Common Multiple of 29134 and 29140?

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 29134 and 29140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29134 and 29140, than apply into the LCM equation.

GCF(29134,29140) = 2
LCM(29134,29140) = ( 29134 × 29140) / 2
LCM(29134,29140) = 848964760 / 2
LCM(29134,29140) = 424482380

Least Common Multiple (LCM) of 29134 and 29140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29134 and 29140. First we will calculate the prime factors of 29134 and 29140.

Prime Factorization of 29134

Prime Factorization of 29140

Now multiplying the highest exponent prime factors to calculate the LCM of 29134 and 29140.

LCM(29134,29140) = 2² × 7¹ × 2081¹ × 5¹ × 31¹ × 47¹
LCM(29134,29140) = 424482380