Least Common Multiple of 9626 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 9626 and 9630 the smallest integer that is 46349190 that is divisible by both numbers.

Least Common Multiple (LCM) of 9626 and 9630 is 46349190.

LCM(9626,9630) = 46349190

LCM of 9626 and 9630

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

LCM of:
and

Least Common Multiple of 9626 and 9630

LCM of 9626 and 9630 is 46349190

Least common multiple can be found by multiplying the highest exponent prime factors of 9626 and 9630. First we will calculate the prime factors of 9626 and 9630.

Prime Factorization of 9626


2 9626
4813 4813
1

Prime factors of 9626 are 2,4813. Prime factorization of 9626 in exponential form is:

9626 = 21×48131

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 9626 and 9630.

LCM(9626,9630) = 21×32×51×1071×48131
LCM(9626,9630) = 46349190

Factors of 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1, 2, 4813, 9626

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 9626 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 9626 and 9630, than apply into the LCM equation.

GCF(9626,9630) = 2
LCM(9626,9630) = ( 9626 × 9630) / 2
LCM(9626,9630) = 92698380 / 2
LCM(9626,9630) = 46349190

Properties of LCM 9626 and 9630

(i) The LCM of 9630 and 9626 is associative

LCM of 9626 and 9630 = LCM of 9630 and 9626

Related Least Common Multiples of 9626

Related Least Common Multiples of 9630

Frequently Asked Questions on LCM of 9626 and 9630

1. What is the LCM of 9626 and 9630?

Answer: LCM of 9626 and 9630 is 46349190.

2. What are the Factors of 9626?

Answer: Factors of 9626 are 1, 2, 4813, 9626. There are 4 integers that are factors of 9626. The greatest factor of 9626 is 9626.

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 9626 and 9630?

Answer:

Least Common Multiple of 9626 and 9630 = 46349190

Step 1: Find the prime factorization of 9626

9626 = 2 x 4813

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 = 46349190 = 2 x 3 x 3 x 5 x 107 x 4813

Step 4: Therefore, the least common multiple of 9626 and 9630 is 46349190.