Least Common Multiple of 9650 and 9657

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 9657 the smallest integer that is 93190050 that is divisible by both numbers.

Least Common Multiple (LCM) of 9650 and 9657 is 93190050.

LCM(9650,9657) = 93190050

LCM of 9650 and 9657

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

LCM of:
and

Least Common Multiple of 9650 and 9657

LCM of 9650 and 9657 is 93190050

Least common multiple can be found by multiplying the highest exponent prime factors of 9650 and 9657. First we will calculate the prime factors of 9650 and 9657.

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 9657


3 9657
3 3219
29 1073
37 37
1

Prime factors of 9657 are 3, 29,37. Prime factorization of 9657 in exponential form is:

9657 = 32×291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9650 and 9657.

LCM(9650,9657) = 21×32×52×291×371×1931
LCM(9650,9657) = 93190050

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 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657

Least Common Multiple of 9650 and 9657 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 9657, than apply into the LCM equation.

GCF(9650,9657) = 1
LCM(9650,9657) = ( 9650 × 9657) / 1
LCM(9650,9657) = 93190050 / 1
LCM(9650,9657) = 93190050

Properties of LCM 9650 and 9657

(i) The LCM of 9657 and 9650 is associative

LCM of 9650 and 9657 = LCM of 9657 and 9650

Related Least Common Multiples of 9650

Related Least Common Multiples of 9657

Frequently Asked Questions on LCM of 9650 and 9657

1. What is the LCM of 9650 and 9657?

Answer: LCM of 9650 and 9657 is 93190050.

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 9657?

Answer: Factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657. There are 12 integers that are factors of 9657. The greatest factor of 9657 is 9657.

4. How to Find the LCM of 9650 and 9657?

Answer:

Least Common Multiple of 9650 and 9657 = 93190050

Step 1: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

Step 2: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

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

LCM = 93190050 = 2 x 3 x 3 x 5 x 5 x 29 x 37 x 193

Step 4: Therefore, the least common multiple of 9650 and 9657 is 93190050.