Least Common Multiple of 9210 and 9211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9210 and 9211 the smallest integer that is 84833310 that is divisible by both numbers.

Least Common Multiple (LCM) of 9210 and 9211 is 84833310.

LCM(9210,9211) = 84833310

LCM of 9210 and 9211

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

LCM of:
and

Least Common Multiple of 9210 and 9211

LCM of 9210 and 9211 is 84833310

Least common multiple can be found by multiplying the highest exponent prime factors of 9210 and 9211. First we will calculate the prime factors of 9210 and 9211.

Prime Factorization of 9210


2 9210
3 4605
5 1535
307 307
1

Prime factors of 9210 are 2, 3, 5,307. Prime factorization of 9210 in exponential form is:

9210 = 21×31×51×3071

Prime Factorization of 9211


61 9211
151 151
1

Prime factors of 9211 are 61,151. Prime factorization of 9211 in exponential form is:

9211 = 611×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9210 and 9211.

LCM(9210,9211) = 21×31×51×611×1511×3071
LCM(9210,9211) = 84833310

Factors of 9210

List of positive integer factors of 9210 that divides 9210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210

Factors of 9211

List of positive integer factors of 9211 that divides 9211 without a remainder.

1, 61, 151, 9211

Least Common Multiple of 9210 and 9211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9210 and 9211, than apply into the LCM equation.

GCF(9210,9211) = 1
LCM(9210,9211) = ( 9210 × 9211) / 1
LCM(9210,9211) = 84833310 / 1
LCM(9210,9211) = 84833310

Properties of LCM 9210 and 9211

(i) The LCM of 9211 and 9210 is associative

LCM of 9210 and 9211 = LCM of 9211 and 9210

Related Least Common Multiples of 9210

Related Least Common Multiples of 9211

Frequently Asked Questions on LCM of 9210 and 9211

1. What is the LCM of 9210 and 9211?

Answer: LCM of 9210 and 9211 is 84833310.

2. What are the Factors of 9210?

Answer: Factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210. There are 16 integers that are factors of 9210. The greatest factor of 9210 is 9210.

3. What are the Factors of 9211?

Answer: Factors of 9211 are 1, 61, 151, 9211. There are 4 integers that are factors of 9211. The greatest factor of 9211 is 9211.

4. How to Find the LCM of 9210 and 9211?

Answer:

Least Common Multiple of 9210 and 9211 = 84833310

Step 1: Find the prime factorization of 9210

9210 = 2 x 3 x 5 x 307

Step 2: Find the prime factorization of 9211

9211 = 61 x 151

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

LCM = 84833310 = 2 x 3 x 5 x 61 x 151 x 307

Step 4: Therefore, the least common multiple of 9210 and 9211 is 84833310.