What is the Least Common Multiple of 7038 and 7043?

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 7038 and 7043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7038 and 7043, than apply into the LCM equation.

GCF(7038,7043) = 1
LCM(7038,7043) = ( 7038 × 7043) / 1
LCM(7038,7043) = 49568634 / 1
LCM(7038,7043) = 49568634

Least Common Multiple (LCM) of 7038 and 7043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7038 and 7043. First we will calculate the prime factors of 7038 and 7043.

Prime Factorization of 7038

Prime Factorization of 7043

Now multiplying the highest exponent prime factors to calculate the LCM of 7038 and 7043.

LCM(7038,7043) = 2¹ × 3² × 17¹ × 23¹ × 7043¹
LCM(7038,7043) = 49568634