Least Common Multiple of 1522 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 1522 and 1526 the smallest integer that is 1161286 that is divisible by both numbers.

Least Common Multiple (LCM) of 1522 and 1526 is 1161286.

LCM(1522,1526) = 1161286

LCM of 1522 and 1526

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

LCM of:
and

Least Common Multiple of 1522 and 1526

LCM of 1522 and 1526 is 1161286

Least common multiple can be found by multiplying the highest exponent prime factors of 1522 and 1526. First we will calculate the prime factors of 1522 and 1526.

Prime Factorization of 1522


2 1522
761 761
1

Prime factors of 1522 are 2,761. Prime factorization of 1522 in exponential form is:

1522 = 21×7611

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 1522 and 1526.

LCM(1522,1526) = 21×71×1091×7611
LCM(1522,1526) = 1161286

Factors of 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1, 2, 761, 1522

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 1522 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 1522 and 1526, than apply into the LCM equation.

GCF(1522,1526) = 2
LCM(1522,1526) = ( 1522 × 1526) / 2
LCM(1522,1526) = 2322572 / 2
LCM(1522,1526) = 1161286

Properties of LCM 1522 and 1526

(i) The LCM of 1526 and 1522 is associative

LCM of 1522 and 1526 = LCM of 1526 and 1522

Related Least Common Multiples of 1522

Related Least Common Multiples of 1526

Frequently Asked Questions on LCM of 1522 and 1526

1. What is the LCM of 1522 and 1526?

Answer: LCM of 1522 and 1526 is 1161286.

2. What are the Factors of 1522?

Answer: Factors of 1522 are 1, 2, 761, 1522. There are 4 integers that are factors of 1522. The greatest factor of 1522 is 1522.

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 1522 and 1526?

Answer:

Least Common Multiple of 1522 and 1526 = 1161286

Step 1: Find the prime factorization of 1522

1522 = 2 x 761

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 = 1161286 = 2 x 7 x 109 x 761

Step 4: Therefore, the least common multiple of 1522 and 1526 is 1161286.