What is the Least Common Multiple of 33814 and 33824?

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 33814 and 33824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33814 and 33824, than apply into the LCM equation.

GCF(33814,33824) = 2
LCM(33814,33824) = ( 33814 × 33824) / 2
LCM(33814,33824) = 1143724736 / 2
LCM(33814,33824) = 571862368

Least Common Multiple (LCM) of 33814 and 33824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33814 and 33824. First we will calculate the prime factors of 33814 and 33824.

Prime Factorization of 33814

Prime Factorization of 33824

Now multiplying the highest exponent prime factors to calculate the LCM of 33814 and 33824.

LCM(33814,33824) = 2⁵ × 11¹ × 29¹ × 53¹ × 7¹ × 151¹
LCM(33814,33824) = 571862368