What is the Least Common Multiple of 38216 and 38230?

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 38216 and 38230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38216 and 38230, than apply into the LCM equation.

GCF(38216,38230) = 2
LCM(38216,38230) = ( 38216 × 38230) / 2
LCM(38216,38230) = 1460997680 / 2
LCM(38216,38230) = 730498840

Least Common Multiple (LCM) of 38216 and 38230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38216 and 38230. First we will calculate the prime factors of 38216 and 38230.

Prime Factorization of 38216

Prime Factorization of 38230

Now multiplying the highest exponent prime factors to calculate the LCM of 38216 and 38230.

LCM(38216,38230) = 2³ × 17¹ × 281¹ × 5¹ × 3823¹
LCM(38216,38230) = 730498840