Least Common Multiple of 9262 and 9270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9262 and 9270 the smallest integer that is 42929370 that is divisible by both numbers.

Least Common Multiple (LCM) of 9262 and 9270 is 42929370.

LCM(9262,9270) = 42929370

LCM of 9262 and 9270

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

LCM of:
and

Least Common Multiple of 9262 and 9270

LCM of 9262 and 9270 is 42929370

Least common multiple can be found by multiplying the highest exponent prime factors of 9262 and 9270. First we will calculate the prime factors of 9262 and 9270.

Prime Factorization of 9262


2 9262
11 4631
421 421
1

Prime factors of 9262 are 2, 11,421. Prime factorization of 9262 in exponential form is:

9262 = 21×111×4211

Prime Factorization of 9270


2 9270
3 4635
3 1545
5 515
103 103
1

Prime factors of 9270 are 2, 3, 5,103. Prime factorization of 9270 in exponential form is:

9270 = 21×32×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9262 and 9270.

LCM(9262,9270) = 21×32×51×111×1031×4211
LCM(9262,9270) = 42929370

Factors of 9262

List of positive integer factors of 9262 that divides 9262 without a remainder.

1, 2, 11, 22, 421, 842, 4631, 9262

Factors of 9270

List of positive integer factors of 9270 that divides 9270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270

Least Common Multiple of 9262 and 9270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9262 and 9270, than apply into the LCM equation.

GCF(9262,9270) = 2
LCM(9262,9270) = ( 9262 × 9270) / 2
LCM(9262,9270) = 85858740 / 2
LCM(9262,9270) = 42929370

Properties of LCM 9262 and 9270

(i) The LCM of 9270 and 9262 is associative

LCM of 9262 and 9270 = LCM of 9270 and 9262

Related Least Common Multiples of 9262

Related Least Common Multiples of 9270

Frequently Asked Questions on LCM of 9262 and 9270

1. What is the LCM of 9262 and 9270?

Answer: LCM of 9262 and 9270 is 42929370.

2. What are the Factors of 9262?

Answer: Factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262. There are 8 integers that are factors of 9262. The greatest factor of 9262 is 9262.

3. What are the Factors of 9270?

Answer: Factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270. There are 24 integers that are factors of 9270. The greatest factor of 9270 is 9270.

4. How to Find the LCM of 9262 and 9270?

Answer:

Least Common Multiple of 9262 and 9270 = 42929370

Step 1: Find the prime factorization of 9262

9262 = 2 x 11 x 421

Step 2: Find the prime factorization of 9270

9270 = 2 x 3 x 3 x 5 x 103

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

LCM = 42929370 = 2 x 3 x 3 x 5 x 11 x 103 x 421

Step 4: Therefore, the least common multiple of 9262 and 9270 is 42929370.