What is the Least Common Multiple of 4059 and 4077?

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 4059 and 4077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4059 and 4077, than apply into the LCM equation.

GCF(4059,4077) = 9
LCM(4059,4077) = ( 4059 × 4077) / 9
LCM(4059,4077) = 16548543 / 9
LCM(4059,4077) = 1838727

Least Common Multiple (LCM) of 4059 and 4077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4059 and 4077. First we will calculate the prime factors of 4059 and 4077.

Prime Factorization of 4059

Prime Factorization of 4077

Now multiplying the highest exponent prime factors to calculate the LCM of 4059 and 4077.

LCM(4059,4077) = 3³ × 11¹ × 41¹ × 151¹
LCM(4059,4077) = 1838727