What is the Least Common Multiple of 51054 and 51072?

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 51054 and 51072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51054 and 51072, than apply into the LCM equation.

GCF(51054,51072) = 6
LCM(51054,51072) = ( 51054 × 51072) / 6
LCM(51054,51072) = 2607429888 / 6
LCM(51054,51072) = 434571648

Least Common Multiple (LCM) of 51054 and 51072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51054 and 51072. First we will calculate the prime factors of 51054 and 51072.

Prime Factorization of 51054

Prime Factorization of 51072

Now multiplying the highest exponent prime factors to calculate the LCM of 51054 and 51072.

LCM(51054,51072) = 2⁷ × 3¹ × 67¹ × 127¹ × 7¹ × 19¹
LCM(51054,51072) = 434571648