What is the Least Common Multiple of 38224 and 38244?

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 38244 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 38244, than apply into the LCM equation.

GCF(38224,38244) = 4
LCM(38224,38244) = ( 38224 × 38244) / 4
LCM(38224,38244) = 1461838656 / 4
LCM(38224,38244) = 365459664

Least Common Multiple (LCM) of 38224 and 38244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38224 and 38244. First we will calculate the prime factors of 38224 and 38244.

Prime Factorization of 38224

Prime Factorization of 38244

Now multiplying the highest exponent prime factors to calculate the LCM of 38224 and 38244.

LCM(38224,38244) = 2⁴ × 2389¹ × 3¹ × 3187¹
LCM(38224,38244) = 365459664