What is the Least Common Multiple of 4048 and 4066?

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 4048 and 4066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4048 and 4066, than apply into the LCM equation.

GCF(4048,4066) = 2
LCM(4048,4066) = ( 4048 × 4066) / 2
LCM(4048,4066) = 16459168 / 2
LCM(4048,4066) = 8229584

Least Common Multiple (LCM) of 4048 and 4066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4048 and 4066. First we will calculate the prime factors of 4048 and 4066.

Prime Factorization of 4048

Prime Factorization of 4066

Now multiplying the highest exponent prime factors to calculate the LCM of 4048 and 4066.

LCM(4048,4066) = 2⁴ × 11¹ × 23¹ × 19¹ × 107¹
LCM(4048,4066) = 8229584