# Least Common Multiple of 1521 and 1536

Least common multiple (LCM) of 1521 and 1536 is 778752.

LCM(1521,1536) = 778752

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.

LCM Calculator and

## Least Common Multiple of 1521 and 1536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1521 and 1536, than apply into the LCM equation.

GCF(1521,1536) = 3
LCM(1521,1536) = ( 1521 × 1536) / 3
LCM(1521,1536) = 2336256 / 3
LCM(1521,1536) = 778752

## Least Common Multiple (LCM) of 1521 and 1536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1521 and 1536. First we will calculate the prime factors of 1521 and 1536.

### Prime Factorization of 1521

Prime factors of 1521 are 3, 13. Prime factorization of 1521 in exponential form is:

1521 = 32 × 132

### Prime Factorization of 1536

Prime factors of 1536 are 2, 3. Prime factorization of 1536 in exponential form is:

1536 = 29 × 31

Now multiplying the highest exponent prime factors to calculate the LCM of 1521 and 1536.

LCM(1521,1536) = 32 × 132 × 29
LCM(1521,1536) = 778752