What is the Least Common Multiple of 34158 and 34167?

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 34158 and 34167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34158 and 34167, than apply into the LCM equation.

GCF(34158,34167) = 3
LCM(34158,34167) = ( 34158 × 34167) / 3
LCM(34158,34167) = 1167076386 / 3
LCM(34158,34167) = 389025462

Least Common Multiple (LCM) of 34158 and 34167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34158 and 34167. First we will calculate the prime factors of 34158 and 34167.

Prime Factorization of 34158

Prime Factorization of 34167

Now multiplying the highest exponent prime factors to calculate the LCM of 34158 and 34167.

LCM(34158,34167) = 2¹ × 3¹ × 5693¹ × 7¹ × 1627¹
LCM(34158,34167) = 389025462