What is the Least Common Multiple of 69066 and 69072?

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 69066 and 69072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69066 and 69072, than apply into the LCM equation.

GCF(69066,69072) = 6
LCM(69066,69072) = ( 69066 × 69072) / 6
LCM(69066,69072) = 4770526752 / 6
LCM(69066,69072) = 795087792

Least Common Multiple (LCM) of 69066 and 69072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69066 and 69072. First we will calculate the prime factors of 69066 and 69072.

Prime Factorization of 69066

Prime Factorization of 69072

Now multiplying the highest exponent prime factors to calculate the LCM of 69066 and 69072.

LCM(69066,69072) = 2⁴ × 3³ × 1279¹ × 1439¹
LCM(69066,69072) = 795087792