Least Common Multiple of 9461 and 9462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9461 and 9462 the smallest integer that is 89519982 that is divisible by both numbers.

Least Common Multiple (LCM) of 9461 and 9462 is 89519982.

LCM(9461,9462) = 89519982

LCM of 9461 and 9462

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

LCM of:
and

Least Common Multiple of 9461 and 9462

LCM of 9461 and 9462 is 89519982

Least common multiple can be found by multiplying the highest exponent prime factors of 9461 and 9462. First we will calculate the prime factors of 9461 and 9462.

Prime Factorization of 9461


9461 9461
1

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

9461 = 94611

Prime Factorization of 9462


2 9462
3 4731
19 1577
83 83
1

Prime factors of 9462 are 2, 3, 19,83. Prime factorization of 9462 in exponential form is:

9462 = 21×31×191×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9461 and 9462.

LCM(9461,9462) = 21×31×191×831×94611
LCM(9461,9462) = 89519982

Factors of 9461

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

1, 9461

Factors of 9462

List of positive integer factors of 9462 that divides 9462 without a remainder.

1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462

Least Common Multiple of 9461 and 9462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9461 and 9462, than apply into the LCM equation.

GCF(9461,9462) = 1
LCM(9461,9462) = ( 9461 × 9462) / 1
LCM(9461,9462) = 89519982 / 1
LCM(9461,9462) = 89519982

Properties of LCM 9461 and 9462

(i) The LCM of 9462 and 9461 is associative

LCM of 9461 and 9462 = LCM of 9462 and 9461

Related Least Common Multiples of 9461

Related Least Common Multiples of 9462

Frequently Asked Questions on LCM of 9461 and 9462

1. What is the LCM of 9461 and 9462?

Answer: LCM of 9461 and 9462 is 89519982.

2. 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.

3. What are the Factors of 9462?

Answer: Factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462. There are 16 integers that are factors of 9462. The greatest factor of 9462 is 9462.

4. How to Find the LCM of 9461 and 9462?

Answer:

Least Common Multiple of 9461 and 9462 = 89519982

Step 1: Find the prime factorization of 9461

9461 = 9461

Step 2: Find the prime factorization of 9462

9462 = 2 x 3 x 19 x 83

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

LCM = 89519982 = 2 x 3 x 19 x 83 x 9461

Step 4: Therefore, the least common multiple of 9461 and 9462 is 89519982.