Least Common Multiple of 1524 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 1524 and 1532 the smallest integer that is 583692 that is divisible by both numbers.

Least Common Multiple (LCM) of 1524 and 1532 is 583692.

LCM(1524,1532) = 583692

LCM of 1524 and 1532

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

LCM of:
and

Least Common Multiple of 1524 and 1532

LCM of 1524 and 1532 is 583692

Least common multiple can be found by multiplying the highest exponent prime factors of 1524 and 1532. First we will calculate the prime factors of 1524 and 1532.

Prime Factorization of 1524


2 1524
2 762
3 381
127 127
1

Prime factors of 1524 are 2, 3,127. Prime factorization of 1524 in exponential form is:

1524 = 22×31×1271

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 1524 and 1532.

LCM(1524,1532) = 22×31×1271×3831
LCM(1524,1532) = 583692

Factors of 1524

List of positive integer factors of 1524 that divides 1524 without a remainder.

1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524

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 1524 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 1524 and 1532, than apply into the LCM equation.

GCF(1524,1532) = 4
LCM(1524,1532) = ( 1524 × 1532) / 4
LCM(1524,1532) = 2334768 / 4
LCM(1524,1532) = 583692

Properties of LCM 1524 and 1532

(i) The LCM of 1532 and 1524 is associative

LCM of 1524 and 1532 = LCM of 1532 and 1524

Related Least Common Multiples of 1524

Related Least Common Multiples of 1532

Frequently Asked Questions on LCM of 1524 and 1532

1. What is the LCM of 1524 and 1532?

Answer: LCM of 1524 and 1532 is 583692.

2. What are the Factors of 1524?

Answer: Factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524. There are 12 integers that are factors of 1524. The greatest factor of 1524 is 1524.

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 1524 and 1532?

Answer:

Least Common Multiple of 1524 and 1532 = 583692

Step 1: Find the prime factorization of 1524

1524 = 2 x 2 x 3 x 127

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 = 583692 = 2 x 2 x 3 x 127 x 383

Step 4: Therefore, the least common multiple of 1524 and 1532 is 583692.