What is the Least Common Multiple of 34031 and 34038?

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 34031 and 34038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34031 and 34038, than apply into the LCM equation.

GCF(34031,34038) = 1
LCM(34031,34038) = ( 34031 × 34038) / 1
LCM(34031,34038) = 1158347178 / 1
LCM(34031,34038) = 1158347178

Least Common Multiple (LCM) of 34031 and 34038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34031 and 34038. First we will calculate the prime factors of 34031 and 34038.

Prime Factorization of 34031

Prime Factorization of 34038

Now multiplying the highest exponent prime factors to calculate the LCM of 34031 and 34038.

LCM(34031,34038) = 34031¹ × 2¹ × 3² × 31¹ × 61¹
LCM(34031,34038) = 1158347178