Least Common Multiple of 415 and 423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 415 and 423 the smallest integer that is 175545 that is divisible by both numbers.

Least Common Multiple (LCM) of 415 and 423 is 175545.

LCM(415,423) = 175545

LCM of 415 and 423

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

LCM of:
and

Least Common Multiple of 415 and 423

LCM of 415 and 423 is 175545

Least common multiple can be found by multiplying the highest exponent prime factors of 415 and 423. First we will calculate the prime factors of 415 and 423.

Prime Factorization of 415


5 415
83 83
1

Prime factors of 415 are 5,83. Prime factorization of 415 in exponential form is:

415 = 51×831

Prime Factorization of 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

Now multiplying the highest exponent prime factors to calculate the LCM of 415 and 423.

LCM(415,423) = 32×51×471×831
LCM(415,423) = 175545

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Least Common Multiple of 415 and 423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 415 and 423, than apply into the LCM equation.

GCF(415,423) = 1
LCM(415,423) = ( 415 × 423) / 1
LCM(415,423) = 175545 / 1
LCM(415,423) = 175545

Properties of LCM 415 and 423

(i) The LCM of 423 and 415 is associative

LCM of 415 and 423 = LCM of 423 and 415

Related Least Common Multiples of 415

Related Least Common Multiples of 423

Frequently Asked Questions on LCM of 415 and 423

1. What is the LCM of 415 and 423?

Answer: LCM of 415 and 423 is 175545.

2. What are the Factors of 415?

Answer: Factors of 415 are 1, 5, 83, 415. There are 4 integers that are factors of 415. The greatest factor of 415 is 415.

3. What are the Factors of 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

4. How to Find the LCM of 415 and 423?

Answer:

Least Common Multiple of 415 and 423 = 175545

Step 1: Find the prime factorization of 415

415 = 5 x 83

Step 2: Find the prime factorization of 423

423 = 3 x 3 x 47

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

LCM = 175545 = 3 x 3 x 5 x 47 x 83

Step 4: Therefore, the least common multiple of 415 and 423 is 175545.