Least Common Multiple of 8646 and 8651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8646 and 8651 the smallest integer that is 74796546 that is divisible by both numbers.

Least Common Multiple (LCM) of 8646 and 8651 is 74796546.

LCM(8646,8651) = 74796546

LCM of 8646 and 8651

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

LCM of:
and

Least Common Multiple of 8646 and 8651

LCM of 8646 and 8651 is 74796546

Least common multiple can be found by multiplying the highest exponent prime factors of 8646 and 8651. First we will calculate the prime factors of 8646 and 8651.

Prime Factorization of 8646


2 8646
3 4323
11 1441
131 131
1

Prime factors of 8646 are 2, 3, 11,131. Prime factorization of 8646 in exponential form is:

8646 = 21×31×111×1311

Prime Factorization of 8651


41 8651
211 211
1

Prime factors of 8651 are 41,211. Prime factorization of 8651 in exponential form is:

8651 = 411×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8646 and 8651.

LCM(8646,8651) = 21×31×111×411×1311×2111
LCM(8646,8651) = 74796546

Factors of 8646

List of positive integer factors of 8646 that divides 8646 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646

Factors of 8651

List of positive integer factors of 8651 that divides 8651 without a remainder.

1, 41, 211, 8651

Least Common Multiple of 8646 and 8651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8646 and 8651, than apply into the LCM equation.

GCF(8646,8651) = 1
LCM(8646,8651) = ( 8646 × 8651) / 1
LCM(8646,8651) = 74796546 / 1
LCM(8646,8651) = 74796546

Properties of LCM 8646 and 8651

(i) The LCM of 8651 and 8646 is associative

LCM of 8646 and 8651 = LCM of 8651 and 8646

Related Least Common Multiples of 8646

Related Least Common Multiples of 8651

Frequently Asked Questions on LCM of 8646 and 8651

1. What is the LCM of 8646 and 8651?

Answer: LCM of 8646 and 8651 is 74796546.

2. What are the Factors of 8646?

Answer: Factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646. There are 16 integers that are factors of 8646. The greatest factor of 8646 is 8646.

3. What are the Factors of 8651?

Answer: Factors of 8651 are 1, 41, 211, 8651. There are 4 integers that are factors of 8651. The greatest factor of 8651 is 8651.

4. How to Find the LCM of 8646 and 8651?

Answer:

Least Common Multiple of 8646 and 8651 = 74796546

Step 1: Find the prime factorization of 8646

8646 = 2 x 3 x 11 x 131

Step 2: Find the prime factorization of 8651

8651 = 41 x 211

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

LCM = 74796546 = 2 x 3 x 11 x 41 x 131 x 211

Step 4: Therefore, the least common multiple of 8646 and 8651 is 74796546.