Least Common Multiple of 1496 and 1499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1496 and 1499 the smallest integer that is 2242504 that is divisible by both numbers.

Least Common Multiple (LCM) of 1496 and 1499 is 2242504.

LCM(1496,1499) = 2242504

LCM of 1496 and 1499

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

LCM of:
and

Least Common Multiple of 1496 and 1499

LCM of 1496 and 1499 is 2242504

Least common multiple can be found by multiplying the highest exponent prime factors of 1496 and 1499. First we will calculate the prime factors of 1496 and 1499.

Prime Factorization of 1496


2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 1496 are 2, 11,17. Prime factorization of 1496 in exponential form is:

1496 = 23×111×171

Prime Factorization of 1499


1499 1499
1

Prime factors of 1499 are 1499. Prime factorization of 1499 in exponential form is:

1499 = 14991

Now multiplying the highest exponent prime factors to calculate the LCM of 1496 and 1499.

LCM(1496,1499) = 23×111×171×14991
LCM(1496,1499) = 2242504

Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496

Factors of 1499

List of positive integer factors of 1499 that divides 1499 without a remainder.

1, 1499

Least Common Multiple of 1496 and 1499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1496 and 1499, than apply into the LCM equation.

GCF(1496,1499) = 1
LCM(1496,1499) = ( 1496 × 1499) / 1
LCM(1496,1499) = 2242504 / 1
LCM(1496,1499) = 2242504

Properties of LCM 1496 and 1499

(i) The LCM of 1499 and 1496 is associative

LCM of 1496 and 1499 = LCM of 1499 and 1496

Related Least Common Multiples of 1496

Related Least Common Multiples of 1499

Frequently Asked Questions on LCM of 1496 and 1499

1. What is the LCM of 1496 and 1499?

Answer: LCM of 1496 and 1499 is 2242504.

2. What are the Factors of 1496?

Answer: Factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. There are 16 integers that are factors of 1496. The greatest factor of 1496 is 1496.

3. What are the Factors of 1499?

Answer: Factors of 1499 are 1, 1499. There are 2 integers that are factors of 1499. The greatest factor of 1499 is 1499.

4. How to Find the LCM of 1496 and 1499?

Answer:

Least Common Multiple of 1496 and 1499 = 2242504

Step 1: Find the prime factorization of 1496

1496 = 2 x 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 1499

1499 = 1499

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

LCM = 2242504 = 2 x 2 x 2 x 11 x 17 x 1499

Step 4: Therefore, the least common multiple of 1496 and 1499 is 2242504.