Least Common Multiple of 7407 and 7412

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 7412 the smallest integer that is 54900684 that is divisible by both numbers.

Least Common Multiple (LCM) of 7407 and 7412 is 54900684.

LCM(7407,7412) = 54900684

LCM of 7407 and 7412

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

LCM of:
and

Least Common Multiple of 7407 and 7412

LCM of 7407 and 7412 is 54900684

Least common multiple can be found by multiplying the highest exponent prime factors of 7407 and 7412. First we will calculate the prime factors of 7407 and 7412.

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 7412


2 7412
2 3706
17 1853
109 109
1

Prime factors of 7412 are 2, 17,109. Prime factorization of 7412 in exponential form is:

7412 = 22×171×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7407 and 7412.

LCM(7407,7412) = 22×32×171×1091×8231
LCM(7407,7412) = 54900684

Factors of 7407

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

1, 3, 9, 823, 2469, 7407

Factors of 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412

Least Common Multiple of 7407 and 7412 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 7412, than apply into the LCM equation.

GCF(7407,7412) = 1
LCM(7407,7412) = ( 7407 × 7412) / 1
LCM(7407,7412) = 54900684 / 1
LCM(7407,7412) = 54900684

Properties of LCM 7407 and 7412

(i) The LCM of 7412 and 7407 is associative

LCM of 7407 and 7412 = LCM of 7412 and 7407

Related Least Common Multiples of 7407

Related Least Common Multiples of 7412

Frequently Asked Questions on LCM of 7407 and 7412

1. What is the LCM of 7407 and 7412?

Answer: LCM of 7407 and 7412 is 54900684.

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 7412?

Answer: Factors of 7412 are 1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412. There are 12 integers that are factors of 7412. The greatest factor of 7412 is 7412.

4. How to Find the LCM of 7407 and 7412?

Answer:

Least Common Multiple of 7407 and 7412 = 54900684

Step 1: Find the prime factorization of 7407

7407 = 3 x 3 x 823

Step 2: Find the prime factorization of 7412

7412 = 2 x 2 x 17 x 109

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

LCM = 54900684 = 2 x 2 x 3 x 3 x 17 x 109 x 823

Step 4: Therefore, the least common multiple of 7407 and 7412 is 54900684.