Least Common Multiple of 7407 and 7414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7407 and 7414 the smallest integer that is 54915498 that is divisible by both numbers.

Least Common Multiple (LCM) of 7407 and 7414 is 54915498.

LCM(7407,7414) = 54915498

LCM of 7407 and 7414

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

LCM of:
and

Least Common Multiple of 7407 and 7414

LCM of 7407 and 7414 is 54915498

Least common multiple can be found by multiplying the highest exponent prime factors of 7407 and 7414. First we will calculate the prime factors of 7407 and 7414.

Prime Factorization of 7407


3 7407
3 2469
823 823
1

Prime factors of 7407 are 3,823. Prime factorization of 7407 in exponential form is:

7407 = 32×8231

Prime Factorization of 7414


2 7414
11 3707
337 337
1

Prime factors of 7414 are 2, 11,337. Prime factorization of 7414 in exponential form is:

7414 = 21×111×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 7407 and 7414.

LCM(7407,7414) = 21×32×111×3371×8231
LCM(7407,7414) = 54915498

Factors of 7407

List of positive integer factors of 7407 that divides 7407 without a remainder.

1, 3, 9, 823, 2469, 7407

Factors of 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1, 2, 11, 22, 337, 674, 3707, 7414

Least Common Multiple of 7407 and 7414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7407 and 7414, than apply into the LCM equation.

GCF(7407,7414) = 1
LCM(7407,7414) = ( 7407 × 7414) / 1
LCM(7407,7414) = 54915498 / 1
LCM(7407,7414) = 54915498

Properties of LCM 7407 and 7414

(i) The LCM of 7414 and 7407 is associative

LCM of 7407 and 7414 = LCM of 7414 and 7407

Related Least Common Multiples of 7407

Related Least Common Multiples of 7414

Frequently Asked Questions on LCM of 7407 and 7414

1. What is the LCM of 7407 and 7414?

Answer: LCM of 7407 and 7414 is 54915498.

2. What are the Factors of 7407?

Answer: Factors of 7407 are 1, 3, 9, 823, 2469, 7407. There are 6 integers that are factors of 7407. The greatest factor of 7407 is 7407.

3. What are the Factors of 7414?

Answer: Factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414. There are 8 integers that are factors of 7414. The greatest factor of 7414 is 7414.

4. How to Find the LCM of 7407 and 7414?

Answer:

Least Common Multiple of 7407 and 7414 = 54915498

Step 1: Find the prime factorization of 7407

7407 = 3 x 3 x 823

Step 2: Find the prime factorization of 7414

7414 = 2 x 11 x 337

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

LCM = 54915498 = 2 x 3 x 3 x 11 x 337 x 823

Step 4: Therefore, the least common multiple of 7407 and 7414 is 54915498.