Least Common Multiple of 2540 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 2540 and 2546 the smallest integer that is 3233420 that is divisible by both numbers.

Least Common Multiple (LCM) of 2540 and 2546 is 3233420.

LCM(2540,2546) = 3233420

LCM of 2540 and 2546

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

LCM of:
and

Least Common Multiple of 2540 and 2546

LCM of 2540 and 2546 is 3233420

Least common multiple can be found by multiplying the highest exponent prime factors of 2540 and 2546. First we will calculate the prime factors of 2540 and 2546.

Prime Factorization of 2540


2 2540
2 1270
5 635
127 127
1

Prime factors of 2540 are 2, 5,127. Prime factorization of 2540 in exponential form is:

2540 = 22×51×1271

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 2540 and 2546.

LCM(2540,2546) = 22×51×191×671×1271
LCM(2540,2546) = 3233420

Factors of 2540

List of positive integer factors of 2540 that divides 2540 without a remainder.

1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540

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 2540 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 2540 and 2546, than apply into the LCM equation.

GCF(2540,2546) = 2
LCM(2540,2546) = ( 2540 × 2546) / 2
LCM(2540,2546) = 6466840 / 2
LCM(2540,2546) = 3233420

Properties of LCM 2540 and 2546

(i) The LCM of 2546 and 2540 is associative

LCM of 2540 and 2546 = LCM of 2546 and 2540

Related Least Common Multiples of 2540

Related Least Common Multiples of 2546

Frequently Asked Questions on LCM of 2540 and 2546

1. What is the LCM of 2540 and 2546?

Answer: LCM of 2540 and 2546 is 3233420.

2. What are the Factors of 2540?

Answer: Factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540. There are 12 integers that are factors of 2540. The greatest factor of 2540 is 2540.

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 2540 and 2546?

Answer:

Least Common Multiple of 2540 and 2546 = 3233420

Step 1: Find the prime factorization of 2540

2540 = 2 x 2 x 5 x 127

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 = 3233420 = 2 x 2 x 5 x 19 x 67 x 127

Step 4: Therefore, the least common multiple of 2540 and 2546 is 3233420.