What is the Least Common Multiple of 67048 and 67065?

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 67048 and 67065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67048 and 67065, than apply into the LCM equation.

GCF(67048,67065) = 17
LCM(67048,67065) = ( 67048 × 67065) / 17
LCM(67048,67065) = 4496574120 / 17
LCM(67048,67065) = 264504360

Least Common Multiple (LCM) of 67048 and 67065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67048 and 67065. First we will calculate the prime factors of 67048 and 67065.

Prime Factorization of 67048

Prime Factorization of 67065

Now multiplying the highest exponent prime factors to calculate the LCM of 67048 and 67065.

LCM(67048,67065) = 2³ × 17² × 29¹ × 3¹ × 5¹ × 263¹
LCM(67048,67065) = 264504360