What is the Least Common Multiple of 33495 and 33501?

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 33495 and 33501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33495 and 33501, than apply into the LCM equation.

GCF(33495,33501) = 3
LCM(33495,33501) = ( 33495 × 33501) / 3
LCM(33495,33501) = 1122115995 / 3
LCM(33495,33501) = 374038665

Least Common Multiple (LCM) of 33495 and 33501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33495 and 33501. First we will calculate the prime factors of 33495 and 33501.

Prime Factorization of 33495

Prime Factorization of 33501

Now multiplying the highest exponent prime factors to calculate the LCM of 33495 and 33501.

LCM(33495,33501) = 3¹ × 5¹ × 7¹ × 11¹ × 29¹ × 13¹ × 859¹
LCM(33495,33501) = 374038665