What is the Least Common Multiple of 67848 and 67859?

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 67848 and 67859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67848 and 67859, than apply into the LCM equation.

GCF(67848,67859) = 11
LCM(67848,67859) = ( 67848 × 67859) / 11
LCM(67848,67859) = 4604097432 / 11
LCM(67848,67859) = 418554312

Least Common Multiple (LCM) of 67848 and 67859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67848 and 67859. First we will calculate the prime factors of 67848 and 67859.

Prime Factorization of 67848

Prime Factorization of 67859

Now multiplying the highest exponent prime factors to calculate the LCM of 67848 and 67859.

LCM(67848,67859) = 2³ × 3¹ × 11¹ × 257¹ × 31¹ × 199¹
LCM(67848,67859) = 418554312