Least Common Multiple of 1524 and 1529

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 1529 the smallest integer that is 2330196 that is divisible by both numbers.

Least Common Multiple (LCM) of 1524 and 1529 is 2330196.

LCM(1524,1529) = 2330196

LCM of 1524 and 1529

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

LCM of:
and

Least Common Multiple of 1524 and 1529

LCM of 1524 and 1529 is 2330196

Least common multiple can be found by multiplying the highest exponent prime factors of 1524 and 1529. First we will calculate the prime factors of 1524 and 1529.

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 1529


11 1529
139 139
1

Prime factors of 1529 are 11,139. Prime factorization of 1529 in exponential form is:

1529 = 111×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1524 and 1529.

LCM(1524,1529) = 22×31×111×1271×1391
LCM(1524,1529) = 2330196

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 1529

List of positive integer factors of 1529 that divides 1529 without a remainder.

1, 11, 139, 1529

Least Common Multiple of 1524 and 1529 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 1529, than apply into the LCM equation.

GCF(1524,1529) = 1
LCM(1524,1529) = ( 1524 × 1529) / 1
LCM(1524,1529) = 2330196 / 1
LCM(1524,1529) = 2330196

Properties of LCM 1524 and 1529

(i) The LCM of 1529 and 1524 is associative

LCM of 1524 and 1529 = LCM of 1529 and 1524

Related Least Common Multiples of 1524

Related Least Common Multiples of 1529

Frequently Asked Questions on LCM of 1524 and 1529

1. What is the LCM of 1524 and 1529?

Answer: LCM of 1524 and 1529 is 2330196.

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 1529?

Answer: Factors of 1529 are 1, 11, 139, 1529. There are 4 integers that are factors of 1529. The greatest factor of 1529 is 1529.

4. How to Find the LCM of 1524 and 1529?

Answer:

Least Common Multiple of 1524 and 1529 = 2330196

Step 1: Find the prime factorization of 1524

1524 = 2 x 2 x 3 x 127

Step 2: Find the prime factorization of 1529

1529 = 11 x 139

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

LCM = 2330196 = 2 x 2 x 3 x 11 x 127 x 139

Step 4: Therefore, the least common multiple of 1524 and 1529 is 2330196.