Least Common Multiple of 8654 and 8662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8654 and 8662 the smallest integer that is 37480474 that is divisible by both numbers.

Least Common Multiple (LCM) of 8654 and 8662 is 37480474.

LCM(8654,8662) = 37480474

LCM of 8654 and 8662

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

LCM of:
and

Least Common Multiple of 8654 and 8662

LCM of 8654 and 8662 is 37480474

Least common multiple can be found by multiplying the highest exponent prime factors of 8654 and 8662. First we will calculate the prime factors of 8654 and 8662.

Prime Factorization of 8654


2 8654
4327 4327
1

Prime factors of 8654 are 2,4327. Prime factorization of 8654 in exponential form is:

8654 = 21×43271

Prime Factorization of 8662


2 8662
61 4331
71 71
1

Prime factors of 8662 are 2, 61,71. Prime factorization of 8662 in exponential form is:

8662 = 21×611×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8654 and 8662.

LCM(8654,8662) = 21×611×711×43271
LCM(8654,8662) = 37480474

Factors of 8654

List of positive integer factors of 8654 that divides 8654 without a remainder.

1, 2, 4327, 8654

Factors of 8662

List of positive integer factors of 8662 that divides 8662 without a remainder.

1, 2, 61, 71, 122, 142, 4331, 8662

Least Common Multiple of 8654 and 8662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8654 and 8662, than apply into the LCM equation.

GCF(8654,8662) = 2
LCM(8654,8662) = ( 8654 × 8662) / 2
LCM(8654,8662) = 74960948 / 2
LCM(8654,8662) = 37480474

Properties of LCM 8654 and 8662

(i) The LCM of 8662 and 8654 is associative

LCM of 8654 and 8662 = LCM of 8662 and 8654

Related Least Common Multiples of 8654

Related Least Common Multiples of 8662

Frequently Asked Questions on LCM of 8654 and 8662

1. What is the LCM of 8654 and 8662?

Answer: LCM of 8654 and 8662 is 37480474.

2. What are the Factors of 8654?

Answer: Factors of 8654 are 1, 2, 4327, 8654. There are 4 integers that are factors of 8654. The greatest factor of 8654 is 8654.

3. What are the Factors of 8662?

Answer: Factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662. There are 8 integers that are factors of 8662. The greatest factor of 8662 is 8662.

4. How to Find the LCM of 8654 and 8662?

Answer:

Least Common Multiple of 8654 and 8662 = 37480474

Step 1: Find the prime factorization of 8654

8654 = 2 x 4327

Step 2: Find the prime factorization of 8662

8662 = 2 x 61 x 71

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

LCM = 37480474 = 2 x 61 x 71 x 4327

Step 4: Therefore, the least common multiple of 8654 and 8662 is 37480474.