Least Common Multiple of 1499 and 1504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1499 and 1504 the smallest integer that is 2254496 that is divisible by both numbers.

Least Common Multiple (LCM) of 1499 and 1504 is 2254496.

LCM(1499,1504) = 2254496

LCM of 1499 and 1504

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

LCM of:
and

Least Common Multiple of 1499 and 1504

LCM of 1499 and 1504 is 2254496

Least common multiple can be found by multiplying the highest exponent prime factors of 1499 and 1504. First we will calculate the prime factors of 1499 and 1504.

Prime Factorization of 1499


1499 1499
1

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

1499 = 14991

Prime Factorization of 1504


2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 1504 are 2,47. Prime factorization of 1504 in exponential form is:

1504 = 25×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1499 and 1504.

LCM(1499,1504) = 25×471×14991
LCM(1499,1504) = 2254496

Factors of 1499

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

1, 1499

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

Least Common Multiple of 1499 and 1504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1499 and 1504, than apply into the LCM equation.

GCF(1499,1504) = 1
LCM(1499,1504) = ( 1499 × 1504) / 1
LCM(1499,1504) = 2254496 / 1
LCM(1499,1504) = 2254496

Properties of LCM 1499 and 1504

(i) The LCM of 1504 and 1499 is associative

LCM of 1499 and 1504 = LCM of 1504 and 1499

Related Least Common Multiples of 1499

Related Least Common Multiples of 1504

Frequently Asked Questions on LCM of 1499 and 1504

1. What is the LCM of 1499 and 1504?

Answer: LCM of 1499 and 1504 is 2254496.

2. 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.

3. What are the Factors of 1504?

Answer: Factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504. There are 12 integers that are factors of 1504. The greatest factor of 1504 is 1504.

4. How to Find the LCM of 1499 and 1504?

Answer:

Least Common Multiple of 1499 and 1504 = 2254496

Step 1: Find the prime factorization of 1499

1499 = 1499

Step 2: Find the prime factorization of 1504

1504 = 2 x 2 x 2 x 2 x 2 x 47

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

LCM = 2254496 = 2 x 2 x 2 x 2 x 2 x 47 x 1499

Step 4: Therefore, the least common multiple of 1499 and 1504 is 2254496.