Least Common Multiple of 9625 and 9630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9625 and 9630 the smallest integer that is 18537750 that is divisible by both numbers.

Least Common Multiple (LCM) of 9625 and 9630 is 18537750.

LCM(9625,9630) = 18537750

LCM of 9625 and 9630

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

LCM of:
and

Least Common Multiple of 9625 and 9630

LCM of 9625 and 9630 is 18537750

Least common multiple can be found by multiplying the highest exponent prime factors of 9625 and 9630. First we will calculate the prime factors of 9625 and 9630.

Prime Factorization of 9625


5 9625
5 1925
5 385
7 77
11 11
1

Prime factors of 9625 are 5, 7,11. Prime factorization of 9625 in exponential form is:

9625 = 53×71×111

Prime Factorization of 9630


2 9630
3 4815
3 1605
5 535
107 107
1

Prime factors of 9630 are 2, 3, 5,107. Prime factorization of 9630 in exponential form is:

9630 = 21×32×51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9625 and 9630.

LCM(9625,9630) = 21×32×53×71×111×1071
LCM(9625,9630) = 18537750

Factors of 9625

List of positive integer factors of 9625 that divides 9625 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625

Factors of 9630

List of positive integer factors of 9630 that divides 9630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630

Least Common Multiple of 9625 and 9630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9625 and 9630, than apply into the LCM equation.

GCF(9625,9630) = 5
LCM(9625,9630) = ( 9625 × 9630) / 5
LCM(9625,9630) = 92688750 / 5
LCM(9625,9630) = 18537750

Properties of LCM 9625 and 9630

(i) The LCM of 9630 and 9625 is associative

LCM of 9625 and 9630 = LCM of 9630 and 9625

Related Least Common Multiples of 9625

Related Least Common Multiples of 9630

Frequently Asked Questions on LCM of 9625 and 9630

1. What is the LCM of 9625 and 9630?

Answer: LCM of 9625 and 9630 is 18537750.

2. What are the Factors of 9625?

Answer: Factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625. There are 16 integers that are factors of 9625. The greatest factor of 9625 is 9625.

3. What are the Factors of 9630?

Answer: Factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630. There are 24 integers that are factors of 9630. The greatest factor of 9630 is 9630.

4. How to Find the LCM of 9625 and 9630?

Answer:

Least Common Multiple of 9625 and 9630 = 18537750

Step 1: Find the prime factorization of 9625

9625 = 5 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 9630

9630 = 2 x 3 x 3 x 5 x 107

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

LCM = 18537750 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 11 x 107

Step 4: Therefore, the least common multiple of 9625 and 9630 is 18537750.