Least Common Multiple of 423 and 427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 423 and 427 the smallest integer that is 180621 that is divisible by both numbers.

Least Common Multiple (LCM) of 423 and 427 is 180621.

LCM(423,427) = 180621

LCM of 423 and 427

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

LCM of:
and

Least Common Multiple of 423 and 427

LCM of 423 and 427 is 180621

Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 427. First we will calculate the prime factors of 423 and 427.

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

Prime Factorization of 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 423 and 427.

LCM(423,427) = 32×71×471×611
LCM(423,427) = 180621

Factors of 423

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

1, 3, 9, 47, 141, 423

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Least Common Multiple of 423 and 427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 423 and 427, than apply into the LCM equation.

GCF(423,427) = 1
LCM(423,427) = ( 423 × 427) / 1
LCM(423,427) = 180621 / 1
LCM(423,427) = 180621

Properties of LCM 423 and 427

(i) The LCM of 427 and 423 is associative

LCM of 423 and 427 = LCM of 427 and 423

Related Least Common Multiples of 423

Related Least Common Multiples of 427

Frequently Asked Questions on LCM of 423 and 427

1. What is the LCM of 423 and 427?

Answer: LCM of 423 and 427 is 180621.

2. 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.

3. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

4. How to Find the LCM of 423 and 427?

Answer:

Least Common Multiple of 423 and 427 = 180621

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

Step 2: Find the prime factorization of 427

427 = 7 x 61

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

LCM = 180621 = 3 x 3 x 7 x 47 x 61

Step 4: Therefore, the least common multiple of 423 and 427 is 180621.