What is the Least Common Multiple of 48319 and 48324?

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 48324 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 48324, than apply into the LCM equation.

GCF(48319,48324) = 1
LCM(48319,48324) = ( 48319 × 48324) / 1
LCM(48319,48324) = 2334967356 / 1
LCM(48319,48324) = 2334967356

Least Common Multiple (LCM) of 48319 and 48324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48319 and 48324. First we will calculate the prime factors of 48319 and 48324.

Prime Factorization of 48319

Prime Factorization of 48324

Now multiplying the highest exponent prime factors to calculate the LCM of 48319 and 48324.

LCM(48319,48324) = 211¹ × 229¹ × 2² × 3¹ × 4027¹
LCM(48319,48324) = 2334967356