What is the Least Common Multiple of 29859 and 29871?

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 29859 and 29871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29859 and 29871, than apply into the LCM equation.

GCF(29859,29871) = 3
LCM(29859,29871) = ( 29859 × 29871) / 3
LCM(29859,29871) = 891918189 / 3
LCM(29859,29871) = 297306063

Least Common Multiple (LCM) of 29859 and 29871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29859 and 29871. First we will calculate the prime factors of 29859 and 29871.

Prime Factorization of 29859

Prime Factorization of 29871

Now multiplying the highest exponent prime factors to calculate the LCM of 29859 and 29871.

LCM(29859,29871) = 3² × 37¹ × 269¹ × 3319¹
LCM(29859,29871) = 297306063