What is the Least Common Multiple of 33230 and 33245?

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 33230 and 33245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33230 and 33245, than apply into the LCM equation.

GCF(33230,33245) = 5
LCM(33230,33245) = ( 33230 × 33245) / 5
LCM(33230,33245) = 1104731350 / 5
LCM(33230,33245) = 220946270

Least Common Multiple (LCM) of 33230 and 33245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33230 and 33245. First we will calculate the prime factors of 33230 and 33245.

Prime Factorization of 33230

Prime Factorization of 33245

Now multiplying the highest exponent prime factors to calculate the LCM of 33230 and 33245.

LCM(33230,33245) = 2¹ × 5¹ × 3323¹ × 61¹ × 109¹
LCM(33230,33245) = 220946270