Least Common Multiple of 9700 and 9702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9700 and 9702 the smallest integer that is 47054700 that is divisible by both numbers.

Least Common Multiple (LCM) of 9700 and 9702 is 47054700.

LCM(9700,9702) = 47054700

LCM of 9700 and 9702

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

LCM of:
and

Least Common Multiple of 9700 and 9702

LCM of 9700 and 9702 is 47054700

Least common multiple can be found by multiplying the highest exponent prime factors of 9700 and 9702. First we will calculate the prime factors of 9700 and 9702.

Prime Factorization of 9700


2 9700
2 4850
5 2425
5 485
97 97
1

Prime factors of 9700 are 2, 5,97. Prime factorization of 9700 in exponential form is:

9700 = 22×52×971

Prime Factorization of 9702


2 9702
3 4851
3 1617
7 539
7 77
11 11
1

Prime factors of 9702 are 2, 3, 7,11. Prime factorization of 9702 in exponential form is:

9702 = 21×32×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 9700 and 9702.

LCM(9700,9702) = 22×32×52×72×111×971
LCM(9700,9702) = 47054700

Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700

Factors of 9702

List of positive integer factors of 9702 that divides 9702 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702

Least Common Multiple of 9700 and 9702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9700 and 9702, than apply into the LCM equation.

GCF(9700,9702) = 2
LCM(9700,9702) = ( 9700 × 9702) / 2
LCM(9700,9702) = 94109400 / 2
LCM(9700,9702) = 47054700

Properties of LCM 9700 and 9702

(i) The LCM of 9702 and 9700 is associative

LCM of 9700 and 9702 = LCM of 9702 and 9700

Related Least Common Multiples of 9700

Related Least Common Multiples of 9702

Frequently Asked Questions on LCM of 9700 and 9702

1. What is the LCM of 9700 and 9702?

Answer: LCM of 9700 and 9702 is 47054700.

2. What are the Factors of 9700?

Answer: Factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700. There are 18 integers that are factors of 9700. The greatest factor of 9700 is 9700.

3. What are the Factors of 9702?

Answer: Factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702. There are 36 integers that are factors of 9702. The greatest factor of 9702 is 9702.

4. How to Find the LCM of 9700 and 9702?

Answer:

Least Common Multiple of 9700 and 9702 = 47054700

Step 1: Find the prime factorization of 9700

9700 = 2 x 2 x 5 x 5 x 97

Step 2: Find the prime factorization of 9702

9702 = 2 x 3 x 3 x 7 x 7 x 11

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

LCM = 47054700 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 97

Step 4: Therefore, the least common multiple of 9700 and 9702 is 47054700.