What is the Least Common Multiple of 38202 and 38208?

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 38202 and 38208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38202 and 38208, than apply into the LCM equation.

GCF(38202,38208) = 6
LCM(38202,38208) = ( 38202 × 38208) / 6
LCM(38202,38208) = 1459622016 / 6
LCM(38202,38208) = 243270336

Least Common Multiple (LCM) of 38202 and 38208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38202 and 38208. First we will calculate the prime factors of 38202 and 38208.

Prime Factorization of 38202

Prime Factorization of 38208

Now multiplying the highest exponent prime factors to calculate the LCM of 38202 and 38208.

LCM(38202,38208) = 2⁶ × 3¹ × 6367¹ × 199¹
LCM(38202,38208) = 243270336