What is the Least Common Multiple of 96320 and 96338?

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 96320 and 96338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96320 and 96338, than apply into the LCM equation.

GCF(96320,96338) = 2
LCM(96320,96338) = ( 96320 × 96338) / 2
LCM(96320,96338) = 9279276160 / 2
LCM(96320,96338) = 4639638080

Least Common Multiple (LCM) of 96320 and 96338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96320 and 96338. First we will calculate the prime factors of 96320 and 96338.

Prime Factorization of 96320

Prime Factorization of 96338

Now multiplying the highest exponent prime factors to calculate the LCM of 96320 and 96338.

LCM(96320,96338) = 2⁶ × 5¹ × 7¹ × 43¹ × 11¹ × 29¹ × 151¹
LCM(96320,96338) = 4639638080