What is the Least Common Multiple of 33420 and 33424?

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 33420 and 33424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33420 and 33424, than apply into the LCM equation.

GCF(33420,33424) = 4
LCM(33420,33424) = ( 33420 × 33424) / 4
LCM(33420,33424) = 1117030080 / 4
LCM(33420,33424) = 279257520

Least Common Multiple (LCM) of 33420 and 33424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33420 and 33424. First we will calculate the prime factors of 33420 and 33424.

Prime Factorization of 33420

Prime Factorization of 33424

Now multiplying the highest exponent prime factors to calculate the LCM of 33420 and 33424.

LCM(33420,33424) = 2⁴ × 3¹ × 5¹ × 557¹ × 2089¹
LCM(33420,33424) = 279257520