Least Common Multiple of 8642 and 8650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8642 and 8650 the smallest integer that is 37376650 that is divisible by both numbers.

Least Common Multiple (LCM) of 8642 and 8650 is 37376650.

LCM(8642,8650) = 37376650

LCM of 8642 and 8650

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

LCM of:
and

Least Common Multiple of 8642 and 8650

LCM of 8642 and 8650 is 37376650

Least common multiple can be found by multiplying the highest exponent prime factors of 8642 and 8650. First we will calculate the prime factors of 8642 and 8650.

Prime Factorization of 8642


2 8642
29 4321
149 149
1

Prime factors of 8642 are 2, 29,149. Prime factorization of 8642 in exponential form is:

8642 = 21×291×1491

Prime Factorization of 8650


2 8650
5 4325
5 865
173 173
1

Prime factors of 8650 are 2, 5,173. Prime factorization of 8650 in exponential form is:

8650 = 21×52×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8642 and 8650.

LCM(8642,8650) = 21×52×291×1491×1731
LCM(8642,8650) = 37376650

Factors of 8642

List of positive integer factors of 8642 that divides 8642 without a remainder.

1, 2, 29, 58, 149, 298, 4321, 8642

Factors of 8650

List of positive integer factors of 8650 that divides 8650 without a remainder.

1, 2, 5, 10, 25, 50, 173, 346, 865, 1730, 4325, 8650

Least Common Multiple of 8642 and 8650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8642 and 8650, than apply into the LCM equation.

GCF(8642,8650) = 2
LCM(8642,8650) = ( 8642 × 8650) / 2
LCM(8642,8650) = 74753300 / 2
LCM(8642,8650) = 37376650

Properties of LCM 8642 and 8650

(i) The LCM of 8650 and 8642 is associative

LCM of 8642 and 8650 = LCM of 8650 and 8642

Related Least Common Multiples of 8642

Related Least Common Multiples of 8650

Frequently Asked Questions on LCM of 8642 and 8650

1. What is the LCM of 8642 and 8650?

Answer: LCM of 8642 and 8650 is 37376650.

2. What are the Factors of 8642?

Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.

3. What are the Factors of 8650?

Answer: Factors of 8650 are 1, 2, 5, 10, 25, 50, 173, 346, 865, 1730, 4325, 8650. There are 12 integers that are factors of 8650. The greatest factor of 8650 is 8650.

4. How to Find the LCM of 8642 and 8650?

Answer:

Least Common Multiple of 8642 and 8650 = 37376650

Step 1: Find the prime factorization of 8642

8642 = 2 x 29 x 149

Step 2: Find the prime factorization of 8650

8650 = 2 x 5 x 5 x 173

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

LCM = 37376650 = 2 x 5 x 5 x 29 x 149 x 173

Step 4: Therefore, the least common multiple of 8642 and 8650 is 37376650.