What is the Least Common Multiple of 33525 and 33545?

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 33525 and 33545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33525 and 33545, than apply into the LCM equation.

GCF(33525,33545) = 5
LCM(33525,33545) = ( 33525 × 33545) / 5
LCM(33525,33545) = 1124596125 / 5
LCM(33525,33545) = 224919225

Least Common Multiple (LCM) of 33525 and 33545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33525 and 33545. First we will calculate the prime factors of 33525 and 33545.

Prime Factorization of 33525

Prime Factorization of 33545

Now multiplying the highest exponent prime factors to calculate the LCM of 33525 and 33545.

LCM(33525,33545) = 3² × 5² × 149¹ × 6709¹
LCM(33525,33545) = 224919225