Least Common Multiple of 1523 and 1526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1523 and 1526 the smallest integer that is 2324098 that is divisible by both numbers.

Least Common Multiple (LCM) of 1523 and 1526 is 2324098.

LCM(1523,1526) = 2324098

LCM of 1523 and 1526

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

LCM of:
and

Least Common Multiple of 1523 and 1526

LCM of 1523 and 1526 is 2324098

Least common multiple can be found by multiplying the highest exponent prime factors of 1523 and 1526. First we will calculate the prime factors of 1523 and 1526.

Prime Factorization of 1523


1523 1523
1

Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:

1523 = 15231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1523 and 1526.

LCM(1523,1526) = 21×71×1091×15231
LCM(1523,1526) = 2324098

Factors of 1523

List of positive integer factors of 1523 that divides 1523 without a remainder.

1, 1523

Factors of 1526

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

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

Least Common Multiple of 1523 and 1526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1523 and 1526, than apply into the LCM equation.

GCF(1523,1526) = 1
LCM(1523,1526) = ( 1523 × 1526) / 1
LCM(1523,1526) = 2324098 / 1
LCM(1523,1526) = 2324098

Properties of LCM 1523 and 1526

(i) The LCM of 1526 and 1523 is associative

LCM of 1523 and 1526 = LCM of 1526 and 1523

Related Least Common Multiples of 1523

Related Least Common Multiples of 1526

Frequently Asked Questions on LCM of 1523 and 1526

1. What is the LCM of 1523 and 1526?

Answer: LCM of 1523 and 1526 is 2324098.

2. What are the Factors of 1523?

Answer: Factors of 1523 are 1, 1523. There are 2 integers that are factors of 1523. The greatest factor of 1523 is 1523.

3. 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.

4. How to Find the LCM of 1523 and 1526?

Answer:

Least Common Multiple of 1523 and 1526 = 2324098

Step 1: Find the prime factorization of 1523

1523 = 1523

Step 2: Find the prime factorization of 1526

1526 = 2 x 7 x 109

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

LCM = 2324098 = 2 x 7 x 109 x 1523

Step 4: Therefore, the least common multiple of 1523 and 1526 is 2324098.