Least Common Multiple of 1532 and 1538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1532 and 1538 the smallest integer that is 1178108 that is divisible by both numbers.

Least Common Multiple (LCM) of 1532 and 1538 is 1178108.

LCM(1532,1538) = 1178108

LCM of 1532 and 1538

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

LCM of:
and

Least Common Multiple of 1532 and 1538

LCM of 1532 and 1538 is 1178108

Least common multiple can be found by multiplying the highest exponent prime factors of 1532 and 1538. First we will calculate the prime factors of 1532 and 1538.

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

Prime Factorization of 1538


2 1538
769 769
1

Prime factors of 1538 are 2,769. Prime factorization of 1538 in exponential form is:

1538 = 21×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 1532 and 1538.

LCM(1532,1538) = 22×3831×7691
LCM(1532,1538) = 1178108

Factors of 1532

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

1, 2, 4, 383, 766, 1532

Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1, 2, 769, 1538

Least Common Multiple of 1532 and 1538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1532 and 1538, than apply into the LCM equation.

GCF(1532,1538) = 2
LCM(1532,1538) = ( 1532 × 1538) / 2
LCM(1532,1538) = 2356216 / 2
LCM(1532,1538) = 1178108

Properties of LCM 1532 and 1538

(i) The LCM of 1538 and 1532 is associative

LCM of 1532 and 1538 = LCM of 1538 and 1532

Related Least Common Multiples of 1532

Related Least Common Multiples of 1538

Frequently Asked Questions on LCM of 1532 and 1538

1. What is the LCM of 1532 and 1538?

Answer: LCM of 1532 and 1538 is 1178108.

2. 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.

3. What are the Factors of 1538?

Answer: Factors of 1538 are 1, 2, 769, 1538. There are 4 integers that are factors of 1538. The greatest factor of 1538 is 1538.

4. How to Find the LCM of 1532 and 1538?

Answer:

Least Common Multiple of 1532 and 1538 = 1178108

Step 1: Find the prime factorization of 1532

1532 = 2 x 2 x 383

Step 2: Find the prime factorization of 1538

1538 = 2 x 769

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

LCM = 1178108 = 2 x 2 x 383 x 769

Step 4: Therefore, the least common multiple of 1532 and 1538 is 1178108.