What is the Least Common Multiple of 67089 and 67104?

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 67089 and 67104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67089 and 67104, than apply into the LCM equation.

GCF(67089,67104) = 3
LCM(67089,67104) = ( 67089 × 67104) / 3
LCM(67089,67104) = 4501940256 / 3
LCM(67089,67104) = 1500646752

Least Common Multiple (LCM) of 67089 and 67104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67089 and 67104. First we will calculate the prime factors of 67089 and 67104.

Prime Factorization of 67089

Prime Factorization of 67104

Now multiplying the highest exponent prime factors to calculate the LCM of 67089 and 67104.

LCM(67089,67104) = 3² × 11¹ × 19¹ × 107¹ × 2⁵ × 233¹
LCM(67089,67104) = 1500646752