Least Common Multiple of 2654 and 2662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2654 and 2662 the smallest integer that is 3532474 that is divisible by both numbers.

Least Common Multiple (LCM) of 2654 and 2662 is 3532474.

LCM(2654,2662) = 3532474

LCM of 2654 and 2662

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

LCM of:
and

Least Common Multiple of 2654 and 2662

LCM of 2654 and 2662 is 3532474

Least common multiple can be found by multiplying the highest exponent prime factors of 2654 and 2662. First we will calculate the prime factors of 2654 and 2662.

Prime Factorization of 2654


2 2654
1327 1327
1

Prime factors of 2654 are 2,1327. Prime factorization of 2654 in exponential form is:

2654 = 21×13271

Prime Factorization of 2662


2 2662
11 1331
11 121
11 11
1

Prime factors of 2662 are 2,11. Prime factorization of 2662 in exponential form is:

2662 = 21×113

Now multiplying the highest exponent prime factors to calculate the LCM of 2654 and 2662.

LCM(2654,2662) = 21×113×13271
LCM(2654,2662) = 3532474

Factors of 2654

List of positive integer factors of 2654 that divides 2654 without a remainder.

1, 2, 1327, 2654

Factors of 2662

List of positive integer factors of 2662 that divides 2662 without a remainder.

1, 2, 11, 22, 121, 242, 1331, 2662

Least Common Multiple of 2654 and 2662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2654 and 2662, than apply into the LCM equation.

GCF(2654,2662) = 2
LCM(2654,2662) = ( 2654 × 2662) / 2
LCM(2654,2662) = 7064948 / 2
LCM(2654,2662) = 3532474

Properties of LCM 2654 and 2662

(i) The LCM of 2662 and 2654 is associative

LCM of 2654 and 2662 = LCM of 2662 and 2654

Related Least Common Multiples of 2654

Related Least Common Multiples of 2662

Frequently Asked Questions on LCM of 2654 and 2662

1. What is the LCM of 2654 and 2662?

Answer: LCM of 2654 and 2662 is 3532474.

2. What are the Factors of 2654?

Answer: Factors of 2654 are 1, 2, 1327, 2654. There are 4 integers that are factors of 2654. The greatest factor of 2654 is 2654.

3. What are the Factors of 2662?

Answer: Factors of 2662 are 1, 2, 11, 22, 121, 242, 1331, 2662. There are 8 integers that are factors of 2662. The greatest factor of 2662 is 2662.

4. How to Find the LCM of 2654 and 2662?

Answer:

Least Common Multiple of 2654 and 2662 = 3532474

Step 1: Find the prime factorization of 2654

2654 = 2 x 1327

Step 2: Find the prime factorization of 2662

2662 = 2 x 11 x 11 x 11

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

LCM = 3532474 = 2 x 11 x 11 x 11 x 1327

Step 4: Therefore, the least common multiple of 2654 and 2662 is 3532474.