Least Common Multiple of 1519 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 1519 and 1524 the smallest integer that is 2314956 that is divisible by both numbers.

Least Common Multiple (LCM) of 1519 and 1524 is 2314956.

LCM(1519,1524) = 2314956

LCM of 1519 and 1524

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

LCM of:
and

Least Common Multiple of 1519 and 1524

LCM of 1519 and 1524 is 2314956

Least common multiple can be found by multiplying the highest exponent prime factors of 1519 and 1524. First we will calculate the prime factors of 1519 and 1524.

Prime Factorization of 1519


7 1519
7 217
31 31
1

Prime factors of 1519 are 7,31. Prime factorization of 1519 in exponential form is:

1519 = 72×311

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 1519 and 1524.

LCM(1519,1524) = 22×31×72×311×1271
LCM(1519,1524) = 2314956

Factors of 1519

List of positive integer factors of 1519 that divides 1519 without a remainder.

1, 7, 31, 49, 217, 1519

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 1519 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 1519 and 1524, than apply into the LCM equation.

GCF(1519,1524) = 1
LCM(1519,1524) = ( 1519 × 1524) / 1
LCM(1519,1524) = 2314956 / 1
LCM(1519,1524) = 2314956

Properties of LCM 1519 and 1524

(i) The LCM of 1524 and 1519 is associative

LCM of 1519 and 1524 = LCM of 1524 and 1519

Related Least Common Multiples of 1519

Related Least Common Multiples of 1524

Frequently Asked Questions on LCM of 1519 and 1524

1. What is the LCM of 1519 and 1524?

Answer: LCM of 1519 and 1524 is 2314956.

2. What are the Factors of 1519?

Answer: Factors of 1519 are 1, 7, 31, 49, 217, 1519. There are 6 integers that are factors of 1519. The greatest factor of 1519 is 1519.

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 1519 and 1524?

Answer:

Least Common Multiple of 1519 and 1524 = 2314956

Step 1: Find the prime factorization of 1519

1519 = 7 x 7 x 31

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 = 2314956 = 2 x 2 x 3 x 7 x 7 x 31 x 127

Step 4: Therefore, the least common multiple of 1519 and 1524 is 2314956.