What is the Least Common Multiple of 67361 and 67368?

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 67361 and 67368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67361 and 67368, than apply into the LCM equation.

GCF(67361,67368) = 7
LCM(67361,67368) = ( 67361 × 67368) / 7
LCM(67361,67368) = 4537975848 / 7
LCM(67361,67368) = 648282264

Least Common Multiple (LCM) of 67361 and 67368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67361 and 67368. First we will calculate the prime factors of 67361 and 67368.

Prime Factorization of 67361

Prime Factorization of 67368

Now multiplying the highest exponent prime factors to calculate the LCM of 67361 and 67368.

LCM(67361,67368) = 7¹ × 9623¹ × 2³ × 3¹ × 401¹
LCM(67361,67368) = 648282264