What is the Least Common Multiple of 33453 and 33465?

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 33453 and 33465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33453 and 33465, than apply into the LCM equation.

GCF(33453,33465) = 3
LCM(33453,33465) = ( 33453 × 33465) / 3
LCM(33453,33465) = 1119504645 / 3
LCM(33453,33465) = 373168215

Least Common Multiple (LCM) of 33453 and 33465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33453 and 33465. First we will calculate the prime factors of 33453 and 33465.

Prime Factorization of 33453

Prime Factorization of 33465

Now multiplying the highest exponent prime factors to calculate the LCM of 33453 and 33465.

LCM(33453,33465) = 3⁴ × 7¹ × 59¹ × 5¹ × 23¹ × 97¹
LCM(33453,33465) = 373168215