Least Common Multiple of 9670 and 9677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9670 and 9677 the smallest integer that is 93576590 that is divisible by both numbers.

Least Common Multiple (LCM) of 9670 and 9677 is 93576590.

LCM(9670,9677) = 93576590

LCM of 9670 and 9677

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

LCM of:
and

Least Common Multiple of 9670 and 9677

LCM of 9670 and 9677 is 93576590

Least common multiple can be found by multiplying the highest exponent prime factors of 9670 and 9677. First we will calculate the prime factors of 9670 and 9677.

Prime Factorization of 9670


2 9670
5 4835
967 967
1

Prime factors of 9670 are 2, 5,967. Prime factorization of 9670 in exponential form is:

9670 = 21×51×9671

Prime Factorization of 9677


9677 9677
1

Prime factors of 9677 are 9677. Prime factorization of 9677 in exponential form is:

9677 = 96771

Now multiplying the highest exponent prime factors to calculate the LCM of 9670 and 9677.

LCM(9670,9677) = 21×51×9671×96771
LCM(9670,9677) = 93576590

Factors of 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1, 2, 5, 10, 967, 1934, 4835, 9670

Factors of 9677

List of positive integer factors of 9677 that divides 9677 without a remainder.

1, 9677

Least Common Multiple of 9670 and 9677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9670 and 9677, than apply into the LCM equation.

GCF(9670,9677) = 1
LCM(9670,9677) = ( 9670 × 9677) / 1
LCM(9670,9677) = 93576590 / 1
LCM(9670,9677) = 93576590

Properties of LCM 9670 and 9677

(i) The LCM of 9677 and 9670 is associative

LCM of 9670 and 9677 = LCM of 9677 and 9670

Related Least Common Multiples of 9670

Related Least Common Multiples of 9677

Frequently Asked Questions on LCM of 9670 and 9677

1. What is the LCM of 9670 and 9677?

Answer: LCM of 9670 and 9677 is 93576590.

2. What are the Factors of 9670?

Answer: Factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670. There are 8 integers that are factors of 9670. The greatest factor of 9670 is 9670.

3. What are the Factors of 9677?

Answer: Factors of 9677 are 1, 9677. There are 2 integers that are factors of 9677. The greatest factor of 9677 is 9677.

4. How to Find the LCM of 9670 and 9677?

Answer:

Least Common Multiple of 9670 and 9677 = 93576590

Step 1: Find the prime factorization of 9670

9670 = 2 x 5 x 967

Step 2: Find the prime factorization of 9677

9677 = 9677

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

LCM = 93576590 = 2 x 5 x 967 x 9677

Step 4: Therefore, the least common multiple of 9670 and 9677 is 93576590.