What is the Least Common Multiple of 29101 and 29111?

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 29101 and 29111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29101 and 29111, than apply into the LCM equation.

GCF(29101,29111) = 1
LCM(29101,29111) = ( 29101 × 29111) / 1
LCM(29101,29111) = 847159211 / 1
LCM(29101,29111) = 847159211

Least Common Multiple (LCM) of 29101 and 29111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29101 and 29111. First we will calculate the prime factors of 29101 and 29111.

Prime Factorization of 29101

Prime Factorization of 29111

Now multiplying the highest exponent prime factors to calculate the LCM of 29101 and 29111.

LCM(29101,29111) = 29101¹ × 43¹ × 677¹
LCM(29101,29111) = 847159211