What is the Least Common Multiple of 48238 and 48249?

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 48238 and 48249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48238 and 48249, than apply into the LCM equation.

GCF(48238,48249) = 1
LCM(48238,48249) = ( 48238 × 48249) / 1
LCM(48238,48249) = 2327435262 / 1
LCM(48238,48249) = 2327435262

Least Common Multiple (LCM) of 48238 and 48249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48238 and 48249. First we will calculate the prime factors of 48238 and 48249.

Prime Factorization of 48238

Prime Factorization of 48249

Now multiplying the highest exponent prime factors to calculate the LCM of 48238 and 48249.

LCM(48238,48249) = 2¹ × 89¹ × 271¹ × 3³ × 1787¹
LCM(48238,48249) = 2327435262