Least Common Multiple of 1528 and 1532

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 1532 the smallest integer that is 585224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1528 and 1532 is 585224.

LCM(1528,1532) = 585224

LCM of 1528 and 1532

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

LCM of:
and

Least Common Multiple of 1528 and 1532

LCM of 1528 and 1532 is 585224

Least common multiple can be found by multiplying the highest exponent prime factors of 1528 and 1532. First we will calculate the prime factors of 1528 and 1532.

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 1532


2 1532
2 766
383 383
1

Prime factors of 1532 are 2,383. Prime factorization of 1532 in exponential form is:

1532 = 22×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 1528 and 1532.

LCM(1528,1532) = 23×1911×3831
LCM(1528,1532) = 585224

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 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1, 2, 4, 383, 766, 1532

Least Common Multiple of 1528 and 1532 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 1532, than apply into the LCM equation.

GCF(1528,1532) = 4
LCM(1528,1532) = ( 1528 × 1532) / 4
LCM(1528,1532) = 2340896 / 4
LCM(1528,1532) = 585224

Properties of LCM 1528 and 1532

(i) The LCM of 1532 and 1528 is associative

LCM of 1528 and 1532 = LCM of 1532 and 1528

Related Least Common Multiples of 1528

Related Least Common Multiples of 1532

Frequently Asked Questions on LCM of 1528 and 1532

1. What is the LCM of 1528 and 1532?

Answer: LCM of 1528 and 1532 is 585224.

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 1532?

Answer: Factors of 1532 are 1, 2, 4, 383, 766, 1532. There are 6 integers that are factors of 1532. The greatest factor of 1532 is 1532.

4. How to Find the LCM of 1528 and 1532?

Answer:

Least Common Multiple of 1528 and 1532 = 585224

Step 1: Find the prime factorization of 1528

1528 = 2 x 2 x 2 x 191

Step 2: Find the prime factorization of 1532

1532 = 2 x 2 x 383

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

LCM = 585224 = 2 x 2 x 2 x 191 x 383

Step 4: Therefore, the least common multiple of 1528 and 1532 is 585224.