Least Common Multiple of 2476 and 2483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2476 and 2483 the smallest integer that is 6147908 that is divisible by both numbers.

Least Common Multiple (LCM) of 2476 and 2483 is 6147908.

LCM(2476,2483) = 6147908

LCM of 2476 and 2483

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

LCM of:
and

Least Common Multiple of 2476 and 2483

LCM of 2476 and 2483 is 6147908

Least common multiple can be found by multiplying the highest exponent prime factors of 2476 and 2483. First we will calculate the prime factors of 2476 and 2483.

Prime Factorization of 2476


2 2476
2 1238
619 619
1

Prime factors of 2476 are 2,619. Prime factorization of 2476 in exponential form is:

2476 = 22×6191

Prime Factorization of 2483


13 2483
191 191
1

Prime factors of 2483 are 13,191. Prime factorization of 2483 in exponential form is:

2483 = 131×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 2476 and 2483.

LCM(2476,2483) = 22×131×1911×6191
LCM(2476,2483) = 6147908

Factors of 2476

List of positive integer factors of 2476 that divides 2476 without a remainder.

1, 2, 4, 619, 1238, 2476

Factors of 2483

List of positive integer factors of 2483 that divides 2483 without a remainder.

1, 13, 191, 2483

Least Common Multiple of 2476 and 2483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2476 and 2483, than apply into the LCM equation.

GCF(2476,2483) = 1
LCM(2476,2483) = ( 2476 × 2483) / 1
LCM(2476,2483) = 6147908 / 1
LCM(2476,2483) = 6147908

Properties of LCM 2476 and 2483

(i) The LCM of 2483 and 2476 is associative

LCM of 2476 and 2483 = LCM of 2483 and 2476

Frequently Asked Questions on LCM of 2476 and 2483

1. What is the LCM of 2476 and 2483?

Answer: LCM of 2476 and 2483 is 6147908.

2. What are the Factors of 2476?

Answer: Factors of 2476 are 1, 2, 4, 619, 1238, 2476. There are 6 integers that are factors of 2476. The greatest factor of 2476 is 2476.

3. What are the Factors of 2483?

Answer: Factors of 2483 are 1, 13, 191, 2483. There are 4 integers that are factors of 2483. The greatest factor of 2483 is 2483.

4. How to Find the LCM of 2476 and 2483?

Answer:

Least Common Multiple of 2476 and 2483 = 6147908

Step 1: Find the prime factorization of 2476

2476 = 2 x 2 x 619

Step 2: Find the prime factorization of 2483

2483 = 13 x 191

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

LCM = 6147908 = 2 x 2 x 13 x 191 x 619

Step 4: Therefore, the least common multiple of 2476 and 2483 is 6147908.