Least Common Multiple of 2486 and 2490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2486 and 2490 the smallest integer that is 3095070 that is divisible by both numbers.

Least Common Multiple (LCM) of 2486 and 2490 is 3095070.

LCM(2486,2490) = 3095070

LCM of 2486 and 2490

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

LCM of:
and

Least Common Multiple of 2486 and 2490

LCM of 2486 and 2490 is 3095070

Least common multiple can be found by multiplying the highest exponent prime factors of 2486 and 2490. First we will calculate the prime factors of 2486 and 2490.

Prime Factorization of 2486


2 2486
11 1243
113 113
1

Prime factors of 2486 are 2, 11,113. Prime factorization of 2486 in exponential form is:

2486 = 21×111×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2486 and 2490.

LCM(2486,2490) = 21×31×51×111×831×1131
LCM(2486,2490) = 3095070

Factors of 2486

List of positive integer factors of 2486 that divides 2486 without a remainder.

1, 2, 11, 22, 113, 226, 1243, 2486

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

Least Common Multiple of 2486 and 2490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2486 and 2490, than apply into the LCM equation.

GCF(2486,2490) = 2
LCM(2486,2490) = ( 2486 × 2490) / 2
LCM(2486,2490) = 6190140 / 2
LCM(2486,2490) = 3095070

Properties of LCM 2486 and 2490

(i) The LCM of 2490 and 2486 is associative

LCM of 2486 and 2490 = LCM of 2490 and 2486

Related Least Common Multiples of 2486

Related Least Common Multiples of 2490

Frequently Asked Questions on LCM of 2486 and 2490

1. What is the LCM of 2486 and 2490?

Answer: LCM of 2486 and 2490 is 3095070.

2. What are the Factors of 2486?

Answer: Factors of 2486 are 1, 2, 11, 22, 113, 226, 1243, 2486. There are 8 integers that are factors of 2486. The greatest factor of 2486 is 2486.

3. 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.

4. How to Find the LCM of 2486 and 2490?

Answer:

Least Common Multiple of 2486 and 2490 = 3095070

Step 1: Find the prime factorization of 2486

2486 = 2 x 11 x 113

Step 2: Find the prime factorization of 2490

2490 = 2 x 3 x 5 x 83

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

LCM = 3095070 = 2 x 3 x 5 x 11 x 83 x 113

Step 4: Therefore, the least common multiple of 2486 and 2490 is 3095070.