Least Common Multiple of 419 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 419 and 423 the smallest integer that is 177237 that is divisible by both numbers.

Least Common Multiple (LCM) of 419 and 423 is 177237.

LCM(419,423) = 177237

LCM of 419 and 423

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

LCM of:
and

Least Common Multiple of 419 and 423

LCM of 419 and 423 is 177237

Least common multiple can be found by multiplying the highest exponent prime factors of 419 and 423. First we will calculate the prime factors of 419 and 423.

Prime Factorization of 419


419 419
1

Prime factors of 419 are 419. Prime factorization of 419 in exponential form is:

419 = 4191

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 419 and 423.

LCM(419,423) = 32×471×4191
LCM(419,423) = 177237

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1, 419

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 419 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 419 and 423, than apply into the LCM equation.

GCF(419,423) = 1
LCM(419,423) = ( 419 × 423) / 1
LCM(419,423) = 177237 / 1
LCM(419,423) = 177237

Properties of LCM 419 and 423

(i) The LCM of 423 and 419 is associative

LCM of 419 and 423 = LCM of 423 and 419

Related Least Common Multiples of 419

Related Least Common Multiples of 423

Frequently Asked Questions on LCM of 419 and 423

1. What is the LCM of 419 and 423?

Answer: LCM of 419 and 423 is 177237.

2. What are the Factors of 419?

Answer: Factors of 419 are 1, 419. There are 2 integers that are factors of 419. The greatest factor of 419 is 419.

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 419 and 423?

Answer:

Least Common Multiple of 419 and 423 = 177237

Step 1: Find the prime factorization of 419

419 = 419

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 = 177237 = 3 x 3 x 47 x 419

Step 4: Therefore, the least common multiple of 419 and 423 is 177237.