Least Common Multiple of 2485 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 2485 and 2492 the smallest integer that is 884660 that is divisible by both numbers.

Least Common Multiple (LCM) of 2485 and 2492 is 884660.

LCM(2485,2492) = 884660

LCM of 2485 and 2492

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

LCM of:
and

Least Common Multiple of 2485 and 2492

LCM of 2485 and 2492 is 884660

Least common multiple can be found by multiplying the highest exponent prime factors of 2485 and 2492. First we will calculate the prime factors of 2485 and 2492.

Prime Factorization of 2485


5 2485
7 497
71 71
1

Prime factors of 2485 are 5, 7,71. Prime factorization of 2485 in exponential form is:

2485 = 51×71×711

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 2485 and 2492.

LCM(2485,2492) = 22×51×71×711×891
LCM(2485,2492) = 884660

Factors of 2485

List of positive integer factors of 2485 that divides 2485 without a remainder.

1, 5, 7, 35, 71, 355, 497, 2485

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 2485 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 2485 and 2492, than apply into the LCM equation.

GCF(2485,2492) = 7
LCM(2485,2492) = ( 2485 × 2492) / 7
LCM(2485,2492) = 6192620 / 7
LCM(2485,2492) = 884660

Properties of LCM 2485 and 2492

(i) The LCM of 2492 and 2485 is associative

LCM of 2485 and 2492 = LCM of 2492 and 2485

Related Least Common Multiples of 2485

Related Least Common Multiples of 2492

Frequently Asked Questions on LCM of 2485 and 2492

1. What is the LCM of 2485 and 2492?

Answer: LCM of 2485 and 2492 is 884660.

2. What are the Factors of 2485?

Answer: Factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485. There are 8 integers that are factors of 2485. The greatest factor of 2485 is 2485.

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 2485 and 2492?

Answer:

Least Common Multiple of 2485 and 2492 = 884660

Step 1: Find the prime factorization of 2485

2485 = 5 x 7 x 71

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 = 884660 = 2 x 2 x 5 x 7 x 71 x 89

Step 4: Therefore, the least common multiple of 2485 and 2492 is 884660.