What is the Least Common Multiple of 48219 and 48237?

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 48219 and 48237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48219 and 48237, than apply into the LCM equation.

GCF(48219,48237) = 3
LCM(48219,48237) = ( 48219 × 48237) / 3
LCM(48219,48237) = 2325939903 / 3
LCM(48219,48237) = 775313301

Least Common Multiple (LCM) of 48219 and 48237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48219 and 48237. First we will calculate the prime factors of 48219 and 48237.

Prime Factorization of 48219

Prime Factorization of 48237

Now multiplying the highest exponent prime factors to calculate the LCM of 48219 and 48237.

LCM(48219,48237) = 3¹ × 16073¹ × 7¹ × 2297¹
LCM(48219,48237) = 775313301