What is the Least Common Multiple of 67065 and 67080?

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 67065 and 67080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67065 and 67080, than apply into the LCM equation.

GCF(67065,67080) = 15
LCM(67065,67080) = ( 67065 × 67080) / 15
LCM(67065,67080) = 4498720200 / 15
LCM(67065,67080) = 299914680

Least Common Multiple (LCM) of 67065 and 67080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67065 and 67080. First we will calculate the prime factors of 67065 and 67080.

Prime Factorization of 67065

Prime Factorization of 67080

Now multiplying the highest exponent prime factors to calculate the LCM of 67065 and 67080.

LCM(67065,67080) = 3¹ × 5¹ × 17¹ × 263¹ × 2³ × 13¹ × 43¹
LCM(67065,67080) = 299914680