What is the Least Common Multiple of 38224 and 38232?

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 38232 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 38232, than apply into the LCM equation.

GCF(38224,38232) = 8
LCM(38224,38232) = ( 38224 × 38232) / 8
LCM(38224,38232) = 1461379968 / 8
LCM(38224,38232) = 182672496

Least Common Multiple (LCM) of 38224 and 38232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38224 and 38232. First we will calculate the prime factors of 38224 and 38232.

Prime Factorization of 38224

Prime Factorization of 38232

Now multiplying the highest exponent prime factors to calculate the LCM of 38224 and 38232.

LCM(38224,38232) = 2⁴ × 2389¹ × 3⁴ × 59¹
LCM(38224,38232) = 182672496