What is the Least Common Multiple of 33274 and 33280?

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 33274 and 33280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33274 and 33280, than apply into the LCM equation.

GCF(33274,33280) = 2
LCM(33274,33280) = ( 33274 × 33280) / 2
LCM(33274,33280) = 1107358720 / 2
LCM(33274,33280) = 553679360

Least Common Multiple (LCM) of 33274 and 33280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33274 and 33280. First we will calculate the prime factors of 33274 and 33280.

Prime Factorization of 33274

Prime Factorization of 33280

Now multiplying the highest exponent prime factors to calculate the LCM of 33274 and 33280.

LCM(33274,33280) = 2⁹ × 127¹ × 131¹ × 5¹ × 13¹
LCM(33274,33280) = 553679360