What is the Least Common Multiple of 33474 and 33478?

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 33474 and 33478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33474 and 33478, than apply into the LCM equation.

GCF(33474,33478) = 2
LCM(33474,33478) = ( 33474 × 33478) / 2
LCM(33474,33478) = 1120642572 / 2
LCM(33474,33478) = 560321286

Least Common Multiple (LCM) of 33474 and 33478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33474 and 33478. First we will calculate the prime factors of 33474 and 33478.

Prime Factorization of 33474

Prime Factorization of 33478

Now multiplying the highest exponent prime factors to calculate the LCM of 33474 and 33478.

LCM(33474,33478) = 2¹ × 3¹ × 7¹ × 797¹ × 19¹ × 881¹
LCM(33474,33478) = 560321286