Least Common Multiple of 9460 and 9461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9460 and 9461 the smallest integer that is 89501060 that is divisible by both numbers.

Least Common Multiple (LCM) of 9460 and 9461 is 89501060.

LCM(9460,9461) = 89501060

LCM of 9460 and 9461

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

LCM of:
and

Least Common Multiple of 9460 and 9461

LCM of 9460 and 9461 is 89501060

Least common multiple can be found by multiplying the highest exponent prime factors of 9460 and 9461. First we will calculate the prime factors of 9460 and 9461.

Prime Factorization of 9460


2 9460
2 4730
5 2365
11 473
43 43
1

Prime factors of 9460 are 2, 5, 11,43. Prime factorization of 9460 in exponential form is:

9460 = 22×51×111×431

Prime Factorization of 9461


9461 9461
1

Prime factors of 9461 are 9461. Prime factorization of 9461 in exponential form is:

9461 = 94611

Now multiplying the highest exponent prime factors to calculate the LCM of 9460 and 9461.

LCM(9460,9461) = 22×51×111×431×94611
LCM(9460,9461) = 89501060

Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460

Factors of 9461

List of positive integer factors of 9461 that divides 9461 without a remainder.

1, 9461

Least Common Multiple of 9460 and 9461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9460 and 9461, than apply into the LCM equation.

GCF(9460,9461) = 1
LCM(9460,9461) = ( 9460 × 9461) / 1
LCM(9460,9461) = 89501060 / 1
LCM(9460,9461) = 89501060

Properties of LCM 9460 and 9461

(i) The LCM of 9461 and 9460 is associative

LCM of 9460 and 9461 = LCM of 9461 and 9460

Related Least Common Multiples of 9460

Related Least Common Multiples of 9461

Frequently Asked Questions on LCM of 9460 and 9461

1. What is the LCM of 9460 and 9461?

Answer: LCM of 9460 and 9461 is 89501060.

2. What are the Factors of 9460?

Answer: Factors of 9460 are 1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460. There are 24 integers that are factors of 9460. The greatest factor of 9460 is 9460.

3. What are the Factors of 9461?

Answer: Factors of 9461 are 1, 9461. There are 2 integers that are factors of 9461. The greatest factor of 9461 is 9461.

4. How to Find the LCM of 9460 and 9461?

Answer:

Least Common Multiple of 9460 and 9461 = 89501060

Step 1: Find the prime factorization of 9460

9460 = 2 x 2 x 5 x 11 x 43

Step 2: Find the prime factorization of 9461

9461 = 9461

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

LCM = 89501060 = 2 x 2 x 5 x 11 x 43 x 9461

Step 4: Therefore, the least common multiple of 9460 and 9461 is 89501060.