What is the Least Common Multiple of 67080 and 67089?

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 67080 and 67089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67080 and 67089, than apply into the LCM equation.

GCF(67080,67089) = 3
LCM(67080,67089) = ( 67080 × 67089) / 3
LCM(67080,67089) = 4500330120 / 3
LCM(67080,67089) = 1500110040

Least Common Multiple (LCM) of 67080 and 67089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67080 and 67089. First we will calculate the prime factors of 67080 and 67089.

Prime Factorization of 67080

Prime Factorization of 67089

Now multiplying the highest exponent prime factors to calculate the LCM of 67080 and 67089.

LCM(67080,67089) = 2³ × 3¹ × 5¹ × 13¹ × 43¹ × 11¹ × 19¹ × 107¹
LCM(67080,67089) = 1500110040