Least Common Multiple of 9650 and 9658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9650 and 9658 the smallest integer that is 46599850 that is divisible by both numbers.

Least Common Multiple (LCM) of 9650 and 9658 is 46599850.

LCM(9650,9658) = 46599850

LCM of 9650 and 9658

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

LCM of:
and

Least Common Multiple of 9650 and 9658

LCM of 9650 and 9658 is 46599850

Least common multiple can be found by multiplying the highest exponent prime factors of 9650 and 9658. First we will calculate the prime factors of 9650 and 9658.

Prime Factorization of 9650


2 9650
5 4825
5 965
193 193
1

Prime factors of 9650 are 2, 5,193. Prime factorization of 9650 in exponential form is:

9650 = 21×52×1931

Prime Factorization of 9658


2 9658
11 4829
439 439
1

Prime factors of 9658 are 2, 11,439. Prime factorization of 9658 in exponential form is:

9658 = 21×111×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 9650 and 9658.

LCM(9650,9658) = 21×52×111×1931×4391
LCM(9650,9658) = 46599850

Factors of 9650

List of positive integer factors of 9650 that divides 9650 without a remainder.

1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650

Factors of 9658

List of positive integer factors of 9658 that divides 9658 without a remainder.

1, 2, 11, 22, 439, 878, 4829, 9658

Least Common Multiple of 9650 and 9658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9650 and 9658, than apply into the LCM equation.

GCF(9650,9658) = 2
LCM(9650,9658) = ( 9650 × 9658) / 2
LCM(9650,9658) = 93199700 / 2
LCM(9650,9658) = 46599850

Properties of LCM 9650 and 9658

(i) The LCM of 9658 and 9650 is associative

LCM of 9650 and 9658 = LCM of 9658 and 9650

Related Least Common Multiples of 9650

Related Least Common Multiples of 9658

Frequently Asked Questions on LCM of 9650 and 9658

1. What is the LCM of 9650 and 9658?

Answer: LCM of 9650 and 9658 is 46599850.

2. What are the Factors of 9650?

Answer: Factors of 9650 are 1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650. There are 12 integers that are factors of 9650. The greatest factor of 9650 is 9650.

3. What are the Factors of 9658?

Answer: Factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658. There are 8 integers that are factors of 9658. The greatest factor of 9658 is 9658.

4. How to Find the LCM of 9650 and 9658?

Answer:

Least Common Multiple of 9650 and 9658 = 46599850

Step 1: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

Step 2: Find the prime factorization of 9658

9658 = 2 x 11 x 439

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

LCM = 46599850 = 2 x 5 x 5 x 11 x 193 x 439

Step 4: Therefore, the least common multiple of 9650 and 9658 is 46599850.