What is the Least Common Multiple of 30320 and 30338?

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 30320 and 30338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30320 and 30338, than apply into the LCM equation.

GCF(30320,30338) = 2
LCM(30320,30338) = ( 30320 × 30338) / 2
LCM(30320,30338) = 919848160 / 2
LCM(30320,30338) = 459924080

Least Common Multiple (LCM) of 30320 and 30338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30320 and 30338. First we will calculate the prime factors of 30320 and 30338.

Prime Factorization of 30320

Prime Factorization of 30338

Now multiplying the highest exponent prime factors to calculate the LCM of 30320 and 30338.

LCM(30320,30338) = 2⁴ × 5¹ × 379¹ × 7¹ × 11¹ × 197¹
LCM(30320,30338) = 459924080