What is the Least Common Multiple of 7038 and 7054?

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 7054 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 7054, than apply into the LCM equation.

GCF(7038,7054) = 2
LCM(7038,7054) = ( 7038 × 7054) / 2
LCM(7038,7054) = 49646052 / 2
LCM(7038,7054) = 24823026

Least Common Multiple (LCM) of 7038 and 7054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7038 and 7054. First we will calculate the prime factors of 7038 and 7054.

Prime Factorization of 7038

Prime Factorization of 7054

Now multiplying the highest exponent prime factors to calculate the LCM of 7038 and 7054.

LCM(7038,7054) = 2¹ × 3² × 17¹ × 23¹ × 3527¹
LCM(7038,7054) = 24823026