What is the Least Common Multiple of 1524 and 1533?

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 1524 and 1533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1524 and 1533, than apply into the LCM equation.

GCF(1524,1533) = 3
LCM(1524,1533) = ( 1524 × 1533) / 3
LCM(1524,1533) = 2336292 / 3
LCM(1524,1533) = 778764

Least Common Multiple (LCM) of 1524 and 1533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1524 and 1533. First we will calculate the prime factors of 1524 and 1533.

Prime Factorization of 1524

Prime Factorization of 1533

Now multiplying the highest exponent prime factors to calculate the LCM of 1524 and 1533.

LCM(1524,1533) = 2² × 3¹ × 127¹ × 7¹ × 73¹
LCM(1524,1533) = 778764