What is the Least Common Multiple of 71038 and 71054?

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 71038 and 71054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71038 and 71054, than apply into the LCM equation.

GCF(71038,71054) = 2
LCM(71038,71054) = ( 71038 × 71054) / 2
LCM(71038,71054) = 5047534052 / 2
LCM(71038,71054) = 2523767026

Least Common Multiple (LCM) of 71038 and 71054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71038 and 71054. First we will calculate the prime factors of 71038 and 71054.

Prime Factorization of 71038

Prime Factorization of 71054

Now multiplying the highest exponent prime factors to calculate the LCM of 71038 and 71054.

LCM(71038,71054) = 2¹ × 11¹ × 3229¹ × 35527¹
LCM(71038,71054) = 2523767026