Least Common Multiple of 7415 and 7422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7415 and 7422 the smallest integer that is 55034130 that is divisible by both numbers.

Least Common Multiple (LCM) of 7415 and 7422 is 55034130.

LCM(7415,7422) = 55034130

LCM of 7415 and 7422

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

LCM of:
and

Least Common Multiple of 7415 and 7422

LCM of 7415 and 7422 is 55034130

Least common multiple can be found by multiplying the highest exponent prime factors of 7415 and 7422. First we will calculate the prime factors of 7415 and 7422.

Prime Factorization of 7415


5 7415
1483 1483
1

Prime factors of 7415 are 5,1483. Prime factorization of 7415 in exponential form is:

7415 = 51×14831

Prime Factorization of 7422


2 7422
3 3711
1237 1237
1

Prime factors of 7422 are 2, 3,1237. Prime factorization of 7422 in exponential form is:

7422 = 21×31×12371

Now multiplying the highest exponent prime factors to calculate the LCM of 7415 and 7422.

LCM(7415,7422) = 21×31×51×12371×14831
LCM(7415,7422) = 55034130

Factors of 7415

List of positive integer factors of 7415 that divides 7415 without a remainder.

1, 5, 1483, 7415

Factors of 7422

List of positive integer factors of 7422 that divides 7422 without a remainder.

1, 2, 3, 6, 1237, 2474, 3711, 7422

Least Common Multiple of 7415 and 7422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7415 and 7422, than apply into the LCM equation.

GCF(7415,7422) = 1
LCM(7415,7422) = ( 7415 × 7422) / 1
LCM(7415,7422) = 55034130 / 1
LCM(7415,7422) = 55034130

Properties of LCM 7415 and 7422

(i) The LCM of 7422 and 7415 is associative

LCM of 7415 and 7422 = LCM of 7422 and 7415

Related Least Common Multiples of 7415

Related Least Common Multiples of 7422

Frequently Asked Questions on LCM of 7415 and 7422

1. What is the LCM of 7415 and 7422?

Answer: LCM of 7415 and 7422 is 55034130.

2. What are the Factors of 7415?

Answer: Factors of 7415 are 1, 5, 1483, 7415. There are 4 integers that are factors of 7415. The greatest factor of 7415 is 7415.

3. What are the Factors of 7422?

Answer: Factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422. There are 8 integers that are factors of 7422. The greatest factor of 7422 is 7422.

4. How to Find the LCM of 7415 and 7422?

Answer:

Least Common Multiple of 7415 and 7422 = 55034130

Step 1: Find the prime factorization of 7415

7415 = 5 x 1483

Step 2: Find the prime factorization of 7422

7422 = 2 x 3 x 1237

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

LCM = 55034130 = 2 x 3 x 5 x 1237 x 1483

Step 4: Therefore, the least common multiple of 7415 and 7422 is 55034130.