What is the Least Common Multiple of 38224 and 38241?

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 38224 and 38241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38224 and 38241, than apply into the LCM equation.

GCF(38224,38241) = 1
LCM(38224,38241) = ( 38224 × 38241) / 1
LCM(38224,38241) = 1461723984 / 1
LCM(38224,38241) = 1461723984

Least Common Multiple (LCM) of 38224 and 38241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38224 and 38241. First we will calculate the prime factors of 38224 and 38241.

Prime Factorization of 38224

Prime Factorization of 38241

Now multiplying the highest exponent prime factors to calculate the LCM of 38224 and 38241.

LCM(38224,38241) = 2⁴ × 2389¹ × 3² × 7¹ × 607¹
LCM(38224,38241) = 1461723984