What is the Least Common Multiple of 33435 and 33453?

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 33435 and 33453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33435 and 33453, than apply into the LCM equation.

GCF(33435,33453) = 9
LCM(33435,33453) = ( 33435 × 33453) / 9
LCM(33435,33453) = 1118501055 / 9
LCM(33435,33453) = 124277895

Least Common Multiple (LCM) of 33435 and 33453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33435 and 33453. First we will calculate the prime factors of 33435 and 33453.

Prime Factorization of 33435

Prime Factorization of 33453

Now multiplying the highest exponent prime factors to calculate the LCM of 33435 and 33453.

LCM(33435,33453) = 3⁴ × 5¹ × 743¹ × 7¹ × 59¹
LCM(33435,33453) = 124277895