Least Common Multiple of 4415 and 4422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4415 and 4422 the smallest integer that is 19523130 that is divisible by both numbers.

Least Common Multiple (LCM) of 4415 and 4422 is 19523130.

LCM(4415,4422) = 19523130

LCM of 4415 and 4422

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

LCM of:
and

Least Common Multiple of 4415 and 4422

LCM of 4415 and 4422 is 19523130

Least common multiple can be found by multiplying the highest exponent prime factors of 4415 and 4422. First we will calculate the prime factors of 4415 and 4422.

Prime Factorization of 4415


5 4415
883 883
1

Prime factors of 4415 are 5,883. Prime factorization of 4415 in exponential form is:

4415 = 51×8831

Prime Factorization of 4422


2 4422
3 2211
11 737
67 67
1

Prime factors of 4422 are 2, 3, 11,67. Prime factorization of 4422 in exponential form is:

4422 = 21×31×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4415 and 4422.

LCM(4415,4422) = 21×31×51×111×671×8831
LCM(4415,4422) = 19523130

Factors of 4415

List of positive integer factors of 4415 that divides 4415 without a remainder.

1, 5, 883, 4415

Factors of 4422

List of positive integer factors of 4422 that divides 4422 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422

Least Common Multiple of 4415 and 4422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4415 and 4422, than apply into the LCM equation.

GCF(4415,4422) = 1
LCM(4415,4422) = ( 4415 × 4422) / 1
LCM(4415,4422) = 19523130 / 1
LCM(4415,4422) = 19523130

Properties of LCM 4415 and 4422

(i) The LCM of 4422 and 4415 is associative

LCM of 4415 and 4422 = LCM of 4422 and 4415

Related Least Common Multiples of 4415

Related Least Common Multiples of 4422

Frequently Asked Questions on LCM of 4415 and 4422

1. What is the LCM of 4415 and 4422?

Answer: LCM of 4415 and 4422 is 19523130.

2. What are the Factors of 4415?

Answer: Factors of 4415 are 1, 5, 883, 4415. There are 4 integers that are factors of 4415. The greatest factor of 4415 is 4415.

3. What are the Factors of 4422?

Answer: Factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422. There are 16 integers that are factors of 4422. The greatest factor of 4422 is 4422.

4. How to Find the LCM of 4415 and 4422?

Answer:

Least Common Multiple of 4415 and 4422 = 19523130

Step 1: Find the prime factorization of 4415

4415 = 5 x 883

Step 2: Find the prime factorization of 4422

4422 = 2 x 3 x 11 x 67

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

LCM = 19523130 = 2 x 3 x 5 x 11 x 67 x 883

Step 4: Therefore, the least common multiple of 4415 and 4422 is 19523130.