Least Common Multiple of 9486 and 9492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9486 and 9492 the smallest integer that is 15006852 that is divisible by both numbers.

Least Common Multiple (LCM) of 9486 and 9492 is 15006852.

LCM(9486,9492) = 15006852

LCM of 9486 and 9492

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

LCM of:
and

Least Common Multiple of 9486 and 9492

LCM of 9486 and 9492 is 15006852

Least common multiple can be found by multiplying the highest exponent prime factors of 9486 and 9492. First we will calculate the prime factors of 9486 and 9492.

Prime Factorization of 9486


2 9486
3 4743
3 1581
17 527
31 31
1

Prime factors of 9486 are 2, 3, 17,31. Prime factorization of 9486 in exponential form is:

9486 = 21×32×171×311

Prime Factorization of 9492


2 9492
2 4746
3 2373
7 791
113 113
1

Prime factors of 9492 are 2, 3, 7,113. Prime factorization of 9492 in exponential form is:

9492 = 22×31×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9486 and 9492.

LCM(9486,9492) = 22×32×71×171×311×1131
LCM(9486,9492) = 15006852

Factors of 9486

List of positive integer factors of 9486 that divides 9486 without a remainder.

1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486

Factors of 9492

List of positive integer factors of 9492 that divides 9492 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492

Least Common Multiple of 9486 and 9492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9486 and 9492, than apply into the LCM equation.

GCF(9486,9492) = 6
LCM(9486,9492) = ( 9486 × 9492) / 6
LCM(9486,9492) = 90041112 / 6
LCM(9486,9492) = 15006852

Properties of LCM 9486 and 9492

(i) The LCM of 9492 and 9486 is associative

LCM of 9486 and 9492 = LCM of 9492 and 9486

Related Least Common Multiples of 9486

Related Least Common Multiples of 9492

Frequently Asked Questions on LCM of 9486 and 9492

1. What is the LCM of 9486 and 9492?

Answer: LCM of 9486 and 9492 is 15006852.

2. What are the Factors of 9486?

Answer: Factors of 9486 are 1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486. There are 24 integers that are factors of 9486. The greatest factor of 9486 is 9486.

3. What are the Factors of 9492?

Answer: Factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492. There are 24 integers that are factors of 9492. The greatest factor of 9492 is 9492.

4. How to Find the LCM of 9486 and 9492?

Answer:

Least Common Multiple of 9486 and 9492 = 15006852

Step 1: Find the prime factorization of 9486

9486 = 2 x 3 x 3 x 17 x 31

Step 2: Find the prime factorization of 9492

9492 = 2 x 2 x 3 x 7 x 113

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

LCM = 15006852 = 2 x 2 x 3 x 3 x 7 x 17 x 31 x 113

Step 4: Therefore, the least common multiple of 9486 and 9492 is 15006852.