Least Common Multiple of 7407 and 7411

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 7411 the smallest integer that is 54893277 that is divisible by both numbers.

Least Common Multiple (LCM) of 7407 and 7411 is 54893277.

LCM(7407,7411) = 54893277

LCM of 7407 and 7411

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

LCM of:
and

Least Common Multiple of 7407 and 7411

LCM of 7407 and 7411 is 54893277

Least common multiple can be found by multiplying the highest exponent prime factors of 7407 and 7411. First we will calculate the prime factors of 7407 and 7411.

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 7411


7411 7411
1

Prime factors of 7411 are 7411. Prime factorization of 7411 in exponential form is:

7411 = 74111

Now multiplying the highest exponent prime factors to calculate the LCM of 7407 and 7411.

LCM(7407,7411) = 32×8231×74111
LCM(7407,7411) = 54893277

Factors of 7407

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

1, 3, 9, 823, 2469, 7407

Factors of 7411

List of positive integer factors of 7411 that divides 7411 without a remainder.

1, 7411

Least Common Multiple of 7407 and 7411 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 7411, than apply into the LCM equation.

GCF(7407,7411) = 1
LCM(7407,7411) = ( 7407 × 7411) / 1
LCM(7407,7411) = 54893277 / 1
LCM(7407,7411) = 54893277

Properties of LCM 7407 and 7411

(i) The LCM of 7411 and 7407 is associative

LCM of 7407 and 7411 = LCM of 7411 and 7407

Related Least Common Multiples of 7407

Related Least Common Multiples of 7411

Frequently Asked Questions on LCM of 7407 and 7411

1. What is the LCM of 7407 and 7411?

Answer: LCM of 7407 and 7411 is 54893277.

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 7411?

Answer: Factors of 7411 are 1, 7411. There are 2 integers that are factors of 7411. The greatest factor of 7411 is 7411.

4. How to Find the LCM of 7407 and 7411?

Answer:

Least Common Multiple of 7407 and 7411 = 54893277

Step 1: Find the prime factorization of 7407

7407 = 3 x 3 x 823

Step 2: Find the prime factorization of 7411

7411 = 7411

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

LCM = 54893277 = 3 x 3 x 823 x 7411

Step 4: Therefore, the least common multiple of 7407 and 7411 is 54893277.