Least Common Multiple of 9650 and 9654

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 9654 the smallest integer that is 46580550 that is divisible by both numbers.

Least Common Multiple (LCM) of 9650 and 9654 is 46580550.

LCM(9650,9654) = 46580550

LCM of 9650 and 9654

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

LCM of:
and

Least Common Multiple of 9650 and 9654

LCM of 9650 and 9654 is 46580550

Least common multiple can be found by multiplying the highest exponent prime factors of 9650 and 9654. First we will calculate the prime factors of 9650 and 9654.

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 9654


2 9654
3 4827
1609 1609
1

Prime factors of 9654 are 2, 3,1609. Prime factorization of 9654 in exponential form is:

9654 = 21×31×16091

Now multiplying the highest exponent prime factors to calculate the LCM of 9650 and 9654.

LCM(9650,9654) = 21×31×52×1931×16091
LCM(9650,9654) = 46580550

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 9654

List of positive integer factors of 9654 that divides 9654 without a remainder.

1, 2, 3, 6, 1609, 3218, 4827, 9654

Least Common Multiple of 9650 and 9654 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 9654, than apply into the LCM equation.

GCF(9650,9654) = 2
LCM(9650,9654) = ( 9650 × 9654) / 2
LCM(9650,9654) = 93161100 / 2
LCM(9650,9654) = 46580550

Properties of LCM 9650 and 9654

(i) The LCM of 9654 and 9650 is associative

LCM of 9650 and 9654 = LCM of 9654 and 9650

Related Least Common Multiples of 9650

Related Least Common Multiples of 9654

Frequently Asked Questions on LCM of 9650 and 9654

1. What is the LCM of 9650 and 9654?

Answer: LCM of 9650 and 9654 is 46580550.

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 9654?

Answer: Factors of 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654. There are 8 integers that are factors of 9654. The greatest factor of 9654 is 9654.

4. How to Find the LCM of 9650 and 9654?

Answer:

Least Common Multiple of 9650 and 9654 = 46580550

Step 1: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

Step 2: Find the prime factorization of 9654

9654 = 2 x 3 x 1609

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

LCM = 46580550 = 2 x 3 x 5 x 5 x 193 x 1609

Step 4: Therefore, the least common multiple of 9650 and 9654 is 46580550.