Least Common Multiple of 2490 and 2496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2490 and 2496 the smallest integer that is 1035840 that is divisible by both numbers.

Least Common Multiple (LCM) of 2490 and 2496 is 1035840.

LCM(2490,2496) = 1035840

LCM of 2490 and 2496

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

LCM of:
and

Least Common Multiple of 2490 and 2496

LCM of 2490 and 2496 is 1035840

Least common multiple can be found by multiplying the highest exponent prime factors of 2490 and 2496. First we will calculate the prime factors of 2490 and 2496.

Prime Factorization of 2490


2 2490
3 1245
5 415
83 83
1

Prime factors of 2490 are 2, 3, 5,83. Prime factorization of 2490 in exponential form is:

2490 = 21×31×51×831

Prime Factorization of 2496


2 2496
2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 2496 are 2, 3,13. Prime factorization of 2496 in exponential form is:

2496 = 26×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2490 and 2496.

LCM(2490,2496) = 26×31×51×131×831
LCM(2490,2496) = 1035840

Factors of 2490

List of positive integer factors of 2490 that divides 2490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496

Least Common Multiple of 2490 and 2496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2490 and 2496, than apply into the LCM equation.

GCF(2490,2496) = 6
LCM(2490,2496) = ( 2490 × 2496) / 6
LCM(2490,2496) = 6215040 / 6
LCM(2490,2496) = 1035840

Properties of LCM 2490 and 2496

(i) The LCM of 2496 and 2490 is associative

LCM of 2490 and 2496 = LCM of 2496 and 2490

Related Least Common Multiples of 2490

Related Least Common Multiples of 2496

Frequently Asked Questions on LCM of 2490 and 2496

1. What is the LCM of 2490 and 2496?

Answer: LCM of 2490 and 2496 is 1035840.

2. What are the Factors of 2490?

Answer: Factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490. There are 16 integers that are factors of 2490. The greatest factor of 2490 is 2490.

3. What are the Factors of 2496?

Answer: Factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496. There are 28 integers that are factors of 2496. The greatest factor of 2496 is 2496.

4. How to Find the LCM of 2490 and 2496?

Answer:

Least Common Multiple of 2490 and 2496 = 1035840

Step 1: Find the prime factorization of 2490

2490 = 2 x 3 x 5 x 83

Step 2: Find the prime factorization of 2496

2496 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13

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

LCM = 1035840 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 83

Step 4: Therefore, the least common multiple of 2490 and 2496 is 1035840.