Least Common Multiple of 1523 and 1524

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 1524 the smallest integer that is 2321052 that is divisible by both numbers.

Least Common Multiple (LCM) of 1523 and 1524 is 2321052.

LCM(1523,1524) = 2321052

LCM of 1523 and 1524

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

LCM of:
and

Least Common Multiple of 1523 and 1524

LCM of 1523 and 1524 is 2321052

Least common multiple can be found by multiplying the highest exponent prime factors of 1523 and 1524. First we will calculate the prime factors of 1523 and 1524.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1523 and 1524.

LCM(1523,1524) = 22×31×1271×15231
LCM(1523,1524) = 2321052

Factors of 1523

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

1, 1523

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

Least Common Multiple of 1523 and 1524 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 1524, than apply into the LCM equation.

GCF(1523,1524) = 1
LCM(1523,1524) = ( 1523 × 1524) / 1
LCM(1523,1524) = 2321052 / 1
LCM(1523,1524) = 2321052

Properties of LCM 1523 and 1524

(i) The LCM of 1524 and 1523 is associative

LCM of 1523 and 1524 = LCM of 1524 and 1523

Related Least Common Multiples of 1523

Related Least Common Multiples of 1524

Frequently Asked Questions on LCM of 1523 and 1524

1. What is the LCM of 1523 and 1524?

Answer: LCM of 1523 and 1524 is 2321052.

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 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.

4. How to Find the LCM of 1523 and 1524?

Answer:

Least Common Multiple of 1523 and 1524 = 2321052

Step 1: Find the prime factorization of 1523

1523 = 1523

Step 2: Find the prime factorization of 1524

1524 = 2 x 2 x 3 x 127

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

LCM = 2321052 = 2 x 2 x 3 x 127 x 1523

Step 4: Therefore, the least common multiple of 1523 and 1524 is 2321052.