What is the Least Common Multiple of 33454 and 33461?

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 33454 and 33461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33454 and 33461, than apply into the LCM equation.

GCF(33454,33461) = 1
LCM(33454,33461) = ( 33454 × 33461) / 1
LCM(33454,33461) = 1119404294 / 1
LCM(33454,33461) = 1119404294

Least Common Multiple (LCM) of 33454 and 33461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33454 and 33461. First we will calculate the prime factors of 33454 and 33461.

Prime Factorization of 33454

Prime Factorization of 33461

Now multiplying the highest exponent prime factors to calculate the LCM of 33454 and 33461.

LCM(33454,33461) = 2¹ × 43¹ × 389¹ × 33461¹
LCM(33454,33461) = 1119404294