What is the Least Common Multiple of 4039 and 4048?

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 4039 and 4048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4039 and 4048, than apply into the LCM equation.

GCF(4039,4048) = 1
LCM(4039,4048) = ( 4039 × 4048) / 1
LCM(4039,4048) = 16349872 / 1
LCM(4039,4048) = 16349872

Least Common Multiple (LCM) of 4039 and 4048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4039 and 4048. First we will calculate the prime factors of 4039 and 4048.

Prime Factorization of 4039

Prime Factorization of 4048

Now multiplying the highest exponent prime factors to calculate the LCM of 4039 and 4048.

LCM(4039,4048) = 7¹ × 577¹ × 2⁴ × 11¹ × 23¹
LCM(4039,4048) = 16349872