What is the Least Common Multiple of 68320 and 68338?

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 68320 and 68338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68320 and 68338, than apply into the LCM equation.

GCF(68320,68338) = 2
LCM(68320,68338) = ( 68320 × 68338) / 2
LCM(68320,68338) = 4668852160 / 2
LCM(68320,68338) = 2334426080

Least Common Multiple (LCM) of 68320 and 68338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68320 and 68338. First we will calculate the prime factors of 68320 and 68338.

Prime Factorization of 68320

Prime Factorization of 68338

Now multiplying the highest exponent prime factors to calculate the LCM of 68320 and 68338.

LCM(68320,68338) = 2⁵ × 5¹ × 7¹ × 61¹ × 47¹ × 727¹
LCM(68320,68338) = 2334426080