Least Common Multiple of 2478 and 2486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2478 and 2486 the smallest integer that is 3080154 that is divisible by both numbers.

Least Common Multiple (LCM) of 2478 and 2486 is 3080154.

LCM(2478,2486) = 3080154

LCM of 2478 and 2486

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

LCM of:
and

Least Common Multiple of 2478 and 2486

LCM of 2478 and 2486 is 3080154

Least common multiple can be found by multiplying the highest exponent prime factors of 2478 and 2486. First we will calculate the prime factors of 2478 and 2486.

Prime Factorization of 2478


2 2478
3 1239
7 413
59 59
1

Prime factors of 2478 are 2, 3, 7,59. Prime factorization of 2478 in exponential form is:

2478 = 21×31×71×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2478 and 2486.

LCM(2478,2486) = 21×31×71×111×591×1131
LCM(2478,2486) = 3080154

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478

Factors of 2486

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

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

Least Common Multiple of 2478 and 2486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2478 and 2486, than apply into the LCM equation.

GCF(2478,2486) = 2
LCM(2478,2486) = ( 2478 × 2486) / 2
LCM(2478,2486) = 6160308 / 2
LCM(2478,2486) = 3080154

Properties of LCM 2478 and 2486

(i) The LCM of 2486 and 2478 is associative

LCM of 2478 and 2486 = LCM of 2486 and 2478

Related Least Common Multiples of 2478

Related Least Common Multiples of 2486

Frequently Asked Questions on LCM of 2478 and 2486

1. What is the LCM of 2478 and 2486?

Answer: LCM of 2478 and 2486 is 3080154.

2. What are the Factors of 2478?

Answer: Factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478. There are 16 integers that are factors of 2478. The greatest factor of 2478 is 2478.

3. 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.

4. How to Find the LCM of 2478 and 2486?

Answer:

Least Common Multiple of 2478 and 2486 = 3080154

Step 1: Find the prime factorization of 2478

2478 = 2 x 3 x 7 x 59

Step 2: Find the prime factorization of 2486

2486 = 2 x 11 x 113

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

LCM = 3080154 = 2 x 3 x 7 x 11 x 59 x 113

Step 4: Therefore, the least common multiple of 2478 and 2486 is 3080154.