What is the Least Common Multiple of 38241 and 38248?

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 38241 and 38248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38241 and 38248, than apply into the LCM equation.

GCF(38241,38248) = 7
LCM(38241,38248) = ( 38241 × 38248) / 7
LCM(38241,38248) = 1462641768 / 7
LCM(38241,38248) = 208948824

Least Common Multiple (LCM) of 38241 and 38248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38241 and 38248. First we will calculate the prime factors of 38241 and 38248.

Prime Factorization of 38241

Prime Factorization of 38248

Now multiplying the highest exponent prime factors to calculate the LCM of 38241 and 38248.

LCM(38241,38248) = 3² × 7¹ × 607¹ × 2³ × 683¹
LCM(38241,38248) = 208948824