What is the Least Common Multiple of 33430 and 33435?

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 33430 and 33435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33430 and 33435, than apply into the LCM equation.

GCF(33430,33435) = 5
LCM(33430,33435) = ( 33430 × 33435) / 5
LCM(33430,33435) = 1117732050 / 5
LCM(33430,33435) = 223546410

Least Common Multiple (LCM) of 33430 and 33435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33430 and 33435. First we will calculate the prime factors of 33430 and 33435.

Prime Factorization of 33430

Prime Factorization of 33435

Now multiplying the highest exponent prime factors to calculate the LCM of 33430 and 33435.

LCM(33430,33435) = 2¹ × 5¹ × 3343¹ × 3² × 743¹
LCM(33430,33435) = 223546410