What is the Least Common Multiple of 29146 and 29161?

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 29146 and 29161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29146 and 29161, than apply into the LCM equation.

GCF(29146,29161) = 1
LCM(29146,29161) = ( 29146 × 29161) / 1
LCM(29146,29161) = 849926506 / 1
LCM(29146,29161) = 849926506

Least Common Multiple (LCM) of 29146 and 29161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29146 and 29161. First we will calculate the prime factors of 29146 and 29161.

Prime Factorization of 29146

Prime Factorization of 29161

Now multiplying the highest exponent prime factors to calculate the LCM of 29146 and 29161.

LCM(29146,29161) = 2¹ × 13¹ × 19¹ × 59¹ × 11² × 241¹
LCM(29146,29161) = 849926506