What is the Least Common Multiple of 48319 and 48338?

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 48319 and 48338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48319 and 48338, than apply into the LCM equation.

GCF(48319,48338) = 1
LCM(48319,48338) = ( 48319 × 48338) / 1
LCM(48319,48338) = 2335643822 / 1
LCM(48319,48338) = 2335643822

Least Common Multiple (LCM) of 48319 and 48338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48319 and 48338. First we will calculate the prime factors of 48319 and 48338.

Prime Factorization of 48319

Prime Factorization of 48338

Now multiplying the highest exponent prime factors to calculate the LCM of 48319 and 48338.

LCM(48319,48338) = 211¹ × 229¹ × 2¹ × 24169¹
LCM(48319,48338) = 2335643822