What is the Least Common Multiple of 48230 and 48238?

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 48230 and 48238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48230 and 48238, than apply into the LCM equation.

GCF(48230,48238) = 2
LCM(48230,48238) = ( 48230 × 48238) / 2
LCM(48230,48238) = 2326518740 / 2
LCM(48230,48238) = 1163259370

Least Common Multiple (LCM) of 48230 and 48238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48230 and 48238. First we will calculate the prime factors of 48230 and 48238.

Prime Factorization of 48230

Prime Factorization of 48238

Now multiplying the highest exponent prime factors to calculate the LCM of 48230 and 48238.

LCM(48230,48238) = 2¹ × 5¹ × 7¹ × 13¹ × 53¹ × 89¹ × 271¹
LCM(48230,48238) = 1163259370