Least Common Multiple of 9410 and 9414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9410 and 9414 the smallest integer that is 44292870 that is divisible by both numbers.

Least Common Multiple (LCM) of 9410 and 9414 is 44292870.

LCM(9410,9414) = 44292870

LCM of 9410 and 9414

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

LCM of:
and

Least Common Multiple of 9410 and 9414

LCM of 9410 and 9414 is 44292870

Least common multiple can be found by multiplying the highest exponent prime factors of 9410 and 9414. First we will calculate the prime factors of 9410 and 9414.

Prime Factorization of 9410


2 9410
5 4705
941 941
1

Prime factors of 9410 are 2, 5,941. Prime factorization of 9410 in exponential form is:

9410 = 21×51×9411

Prime Factorization of 9414


2 9414
3 4707
3 1569
523 523
1

Prime factors of 9414 are 2, 3,523. Prime factorization of 9414 in exponential form is:

9414 = 21×32×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 9410 and 9414.

LCM(9410,9414) = 21×32×51×5231×9411
LCM(9410,9414) = 44292870

Factors of 9410

List of positive integer factors of 9410 that divides 9410 without a remainder.

1, 2, 5, 10, 941, 1882, 4705, 9410

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414

Least Common Multiple of 9410 and 9414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9410 and 9414, than apply into the LCM equation.

GCF(9410,9414) = 2
LCM(9410,9414) = ( 9410 × 9414) / 2
LCM(9410,9414) = 88585740 / 2
LCM(9410,9414) = 44292870

Properties of LCM 9410 and 9414

(i) The LCM of 9414 and 9410 is associative

LCM of 9410 and 9414 = LCM of 9414 and 9410

Related Least Common Multiples of 9410

Related Least Common Multiples of 9414

Frequently Asked Questions on LCM of 9410 and 9414

1. What is the LCM of 9410 and 9414?

Answer: LCM of 9410 and 9414 is 44292870.

2. What are the Factors of 9410?

Answer: Factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410. There are 8 integers that are factors of 9410. The greatest factor of 9410 is 9410.

3. What are the Factors of 9414?

Answer: Factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414. There are 12 integers that are factors of 9414. The greatest factor of 9414 is 9414.

4. How to Find the LCM of 9410 and 9414?

Answer:

Least Common Multiple of 9410 and 9414 = 44292870

Step 1: Find the prime factorization of 9410

9410 = 2 x 5 x 941

Step 2: Find the prime factorization of 9414

9414 = 2 x 3 x 3 x 523

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

LCM = 44292870 = 2 x 3 x 3 x 5 x 523 x 941

Step 4: Therefore, the least common multiple of 9410 and 9414 is 44292870.