Least Common Multiple of 1526 and 1531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1526 and 1531 the smallest integer that is 2336306 that is divisible by both numbers.

Least Common Multiple (LCM) of 1526 and 1531 is 2336306.

LCM(1526,1531) = 2336306

LCM of 1526 and 1531

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

LCM of:
and

Least Common Multiple of 1526 and 1531

LCM of 1526 and 1531 is 2336306

Least common multiple can be found by multiplying the highest exponent prime factors of 1526 and 1531. First we will calculate the prime factors of 1526 and 1531.

Prime Factorization of 1526


2 1526
7 763
109 109
1

Prime factors of 1526 are 2, 7,109. Prime factorization of 1526 in exponential form is:

1526 = 21×71×1091

Prime Factorization of 1531


1531 1531
1

Prime factors of 1531 are 1531. Prime factorization of 1531 in exponential form is:

1531 = 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 1526 and 1531.

LCM(1526,1531) = 21×71×1091×15311
LCM(1526,1531) = 2336306

Factors of 1526

List of positive integer factors of 1526 that divides 1526 without a remainder.

1, 2, 7, 14, 109, 218, 763, 1526

Factors of 1531

List of positive integer factors of 1531 that divides 1531 without a remainder.

1, 1531

Least Common Multiple of 1526 and 1531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1526 and 1531, than apply into the LCM equation.

GCF(1526,1531) = 1
LCM(1526,1531) = ( 1526 × 1531) / 1
LCM(1526,1531) = 2336306 / 1
LCM(1526,1531) = 2336306

Properties of LCM 1526 and 1531

(i) The LCM of 1531 and 1526 is associative

LCM of 1526 and 1531 = LCM of 1531 and 1526

Related Least Common Multiples of 1526

Related Least Common Multiples of 1531

Frequently Asked Questions on LCM of 1526 and 1531

1. What is the LCM of 1526 and 1531?

Answer: LCM of 1526 and 1531 is 2336306.

2. What are the Factors of 1526?

Answer: Factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526. There are 8 integers that are factors of 1526. The greatest factor of 1526 is 1526.

3. What are the Factors of 1531?

Answer: Factors of 1531 are 1, 1531. There are 2 integers that are factors of 1531. The greatest factor of 1531 is 1531.

4. How to Find the LCM of 1526 and 1531?

Answer:

Least Common Multiple of 1526 and 1531 = 2336306

Step 1: Find the prime factorization of 1526

1526 = 2 x 7 x 109

Step 2: Find the prime factorization of 1531

1531 = 1531

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

LCM = 2336306 = 2 x 7 x 109 x 1531

Step 4: Therefore, the least common multiple of 1526 and 1531 is 2336306.