Least Common Multiple of 2486 and 2492

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 2492 the smallest integer that is 3097556 that is divisible by both numbers.

Least Common Multiple (LCM) of 2486 and 2492 is 3097556.

LCM(2486,2492) = 3097556

LCM of 2486 and 2492

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

LCM of:
and

Least Common Multiple of 2486 and 2492

LCM of 2486 and 2492 is 3097556

Least common multiple can be found by multiplying the highest exponent prime factors of 2486 and 2492. First we will calculate the prime factors of 2486 and 2492.

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 2492


2 2492
2 1246
7 623
89 89
1

Prime factors of 2492 are 2, 7,89. Prime factorization of 2492 in exponential form is:

2492 = 22×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2486 and 2492.

LCM(2486,2492) = 22×71×111×891×1131
LCM(2486,2492) = 3097556

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 2492

List of positive integer factors of 2492 that divides 2492 without a remainder.

1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492

Least Common Multiple of 2486 and 2492 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 2492, than apply into the LCM equation.

GCF(2486,2492) = 2
LCM(2486,2492) = ( 2486 × 2492) / 2
LCM(2486,2492) = 6195112 / 2
LCM(2486,2492) = 3097556

Properties of LCM 2486 and 2492

(i) The LCM of 2492 and 2486 is associative

LCM of 2486 and 2492 = LCM of 2492 and 2486

Related Least Common Multiples of 2486

Related Least Common Multiples of 2492

Frequently Asked Questions on LCM of 2486 and 2492

1. What is the LCM of 2486 and 2492?

Answer: LCM of 2486 and 2492 is 3097556.

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 2492?

Answer: Factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492. There are 12 integers that are factors of 2492. The greatest factor of 2492 is 2492.

4. How to Find the LCM of 2486 and 2492?

Answer:

Least Common Multiple of 2486 and 2492 = 3097556

Step 1: Find the prime factorization of 2486

2486 = 2 x 11 x 113

Step 2: Find the prime factorization of 2492

2492 = 2 x 2 x 7 x 89

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

LCM = 3097556 = 2 x 2 x 7 x 11 x 89 x 113

Step 4: Therefore, the least common multiple of 2486 and 2492 is 3097556.