Least Common Multiple of 9642 and 9650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9642 and 9650 the smallest integer that is 46522650 that is divisible by both numbers.

Least Common Multiple (LCM) of 9642 and 9650 is 46522650.

LCM(9642,9650) = 46522650

LCM of 9642 and 9650

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

LCM of:
and

Least Common Multiple of 9642 and 9650

LCM of 9642 and 9650 is 46522650

Least common multiple can be found by multiplying the highest exponent prime factors of 9642 and 9650. First we will calculate the prime factors of 9642 and 9650.

Prime Factorization of 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2, 3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9642 and 9650.

LCM(9642,9650) = 21×31×52×1931×16071
LCM(9642,9650) = 46522650

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1, 2, 3, 6, 1607, 3214, 4821, 9642

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

Least Common Multiple of 9642 and 9650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9642 and 9650, than apply into the LCM equation.

GCF(9642,9650) = 2
LCM(9642,9650) = ( 9642 × 9650) / 2
LCM(9642,9650) = 93045300 / 2
LCM(9642,9650) = 46522650

Properties of LCM 9642 and 9650

(i) The LCM of 9650 and 9642 is associative

LCM of 9642 and 9650 = LCM of 9650 and 9642

Related Least Common Multiples of 9642

Related Least Common Multiples of 9650

Frequently Asked Questions on LCM of 9642 and 9650

1. What is the LCM of 9642 and 9650?

Answer: LCM of 9642 and 9650 is 46522650.

2. What are the Factors of 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

3. 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.

4. How to Find the LCM of 9642 and 9650?

Answer:

Least Common Multiple of 9642 and 9650 = 46522650

Step 1: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

Step 2: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

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

LCM = 46522650 = 2 x 3 x 5 x 5 x 193 x 1607

Step 4: Therefore, the least common multiple of 9642 and 9650 is 46522650.