Least Common Multiple of 2538 and 2546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2538 and 2546 the smallest integer that is 3230874 that is divisible by both numbers.

Least Common Multiple (LCM) of 2538 and 2546 is 3230874.

LCM(2538,2546) = 3230874

LCM of 2538 and 2546

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

LCM of:
and

Least Common Multiple of 2538 and 2546

LCM of 2538 and 2546 is 3230874

Least common multiple can be found by multiplying the highest exponent prime factors of 2538 and 2546. First we will calculate the prime factors of 2538 and 2546.

Prime Factorization of 2538


2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 2538 are 2, 3,47. Prime factorization of 2538 in exponential form is:

2538 = 21×33×471

Prime Factorization of 2546


2 2546
19 1273
67 67
1

Prime factors of 2546 are 2, 19,67. Prime factorization of 2546 in exponential form is:

2546 = 21×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2538 and 2546.

LCM(2538,2546) = 21×33×191×471×671
LCM(2538,2546) = 3230874

Factors of 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538

Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1, 2, 19, 38, 67, 134, 1273, 2546

Least Common Multiple of 2538 and 2546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2538 and 2546, than apply into the LCM equation.

GCF(2538,2546) = 2
LCM(2538,2546) = ( 2538 × 2546) / 2
LCM(2538,2546) = 6461748 / 2
LCM(2538,2546) = 3230874

Properties of LCM 2538 and 2546

(i) The LCM of 2546 and 2538 is associative

LCM of 2538 and 2546 = LCM of 2546 and 2538

Related Least Common Multiples of 2538

Related Least Common Multiples of 2546

Frequently Asked Questions on LCM of 2538 and 2546

1. What is the LCM of 2538 and 2546?

Answer: LCM of 2538 and 2546 is 3230874.

2. What are the Factors of 2538?

Answer: Factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538. There are 16 integers that are factors of 2538. The greatest factor of 2538 is 2538.

3. What are the Factors of 2546?

Answer: Factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546. There are 8 integers that are factors of 2546. The greatest factor of 2546 is 2546.

4. How to Find the LCM of 2538 and 2546?

Answer:

Least Common Multiple of 2538 and 2546 = 3230874

Step 1: Find the prime factorization of 2538

2538 = 2 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 2546

2546 = 2 x 19 x 67

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

LCM = 3230874 = 2 x 3 x 3 x 3 x 19 x 47 x 67

Step 4: Therefore, the least common multiple of 2538 and 2546 is 3230874.