Least Common Multiple of 1528 and 1533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1528 and 1533 the smallest integer that is 2342424 that is divisible by both numbers.

Least Common Multiple (LCM) of 1528 and 1533 is 2342424.

LCM(1528,1533) = 2342424

LCM of 1528 and 1533

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1528 and 1533

LCM of 1528 and 1533 is 2342424

Least common multiple can be found by multiplying the highest exponent prime factors of 1528 and 1533. First we will calculate the prime factors of 1528 and 1533.

Prime Factorization of 1528


2 1528
2 764
2 382
191 191
1

Prime factors of 1528 are 2,191. Prime factorization of 1528 in exponential form is:

1528 = 23×1911

Prime Factorization of 1533


3 1533
7 511
73 73
1

Prime factors of 1533 are 3, 7,73. Prime factorization of 1533 in exponential form is:

1533 = 31×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1528 and 1533.

LCM(1528,1533) = 23×31×71×731×1911
LCM(1528,1533) = 2342424

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1, 2, 4, 8, 191, 382, 764, 1528

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1, 3, 7, 21, 73, 219, 511, 1533

Least Common Multiple of 1528 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 1528 and 1533, than apply into the LCM equation.

GCF(1528,1533) = 1
LCM(1528,1533) = ( 1528 × 1533) / 1
LCM(1528,1533) = 2342424 / 1
LCM(1528,1533) = 2342424

Properties of LCM 1528 and 1533

(i) The LCM of 1533 and 1528 is associative

LCM of 1528 and 1533 = LCM of 1533 and 1528

Related Least Common Multiples of 1528

Related Least Common Multiples of 1533

Frequently Asked Questions on LCM of 1528 and 1533

1. What is the LCM of 1528 and 1533?

Answer: LCM of 1528 and 1533 is 2342424.

2. What are the Factors of 1528?

Answer: Factors of 1528 are 1, 2, 4, 8, 191, 382, 764, 1528. There are 8 integers that are factors of 1528. The greatest factor of 1528 is 1528.

3. What are the Factors of 1533?

Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.

4. How to Find the LCM of 1528 and 1533?

Answer:

Least Common Multiple of 1528 and 1533 = 2342424

Step 1: Find the prime factorization of 1528

1528 = 2 x 2 x 2 x 191

Step 2: Find the prime factorization of 1533

1533 = 3 x 7 x 73

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2342424 = 2 x 2 x 2 x 3 x 7 x 73 x 191

Step 4: Therefore, the least common multiple of 1528 and 1533 is 2342424.