What is the Least Common Multiple of 48308 and 48321?

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 48308 and 48321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48308 and 48321, than apply into the LCM equation.

GCF(48308,48321) = 13
LCM(48308,48321) = ( 48308 × 48321) / 13
LCM(48308,48321) = 2334290868 / 13
LCM(48308,48321) = 179560836

Least Common Multiple (LCM) of 48308 and 48321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48308 and 48321. First we will calculate the prime factors of 48308 and 48321.

Prime Factorization of 48308

Prime Factorization of 48321

Now multiplying the highest exponent prime factors to calculate the LCM of 48308 and 48321.

LCM(48308,48321) = 2² × 13¹ × 929¹ × 3² × 7¹ × 59¹
LCM(48308,48321) = 179560836