What is the Least Common Multiple of 4515 and 4533?

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 4515 and 4533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4515 and 4533, than apply into the LCM equation.

GCF(4515,4533) = 3
LCM(4515,4533) = ( 4515 × 4533) / 3
LCM(4515,4533) = 20466495 / 3
LCM(4515,4533) = 6822165

Least Common Multiple (LCM) of 4515 and 4533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4515 and 4533. First we will calculate the prime factors of 4515 and 4533.

Prime Factorization of 4515

Prime Factorization of 4533

Now multiplying the highest exponent prime factors to calculate the LCM of 4515 and 4533.

LCM(4515,4533) = 3¹ × 5¹ × 7¹ × 43¹ × 1511¹
LCM(4515,4533) = 6822165