Least Common Multiple of 421 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 421 and 427 the smallest integer that is 179767 that is divisible by both numbers.

Least Common Multiple (LCM) of 421 and 427 is 179767.

LCM(421,427) = 179767

LCM of 421 and 427

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

LCM of:
and

Least Common Multiple of 421 and 427

LCM of 421 and 427 is 179767

Least common multiple can be found by multiplying the highest exponent prime factors of 421 and 427. First we will calculate the prime factors of 421 and 427.

Prime Factorization of 421


421 421
1

Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:

421 = 4211

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 421 and 427.

LCM(421,427) = 71×611×4211
LCM(421,427) = 179767

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1, 421

Factors of 427

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

1, 7, 61, 427

Least Common Multiple of 421 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 421 and 427, than apply into the LCM equation.

GCF(421,427) = 1
LCM(421,427) = ( 421 × 427) / 1
LCM(421,427) = 179767 / 1
LCM(421,427) = 179767

Properties of LCM 421 and 427

(i) The LCM of 427 and 421 is associative

LCM of 421 and 427 = LCM of 427 and 421

Related Least Common Multiples of 421

Related Least Common Multiples of 427

Frequently Asked Questions on LCM of 421 and 427

1. What is the LCM of 421 and 427?

Answer: LCM of 421 and 427 is 179767.

2. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

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 421 and 427?

Answer:

Least Common Multiple of 421 and 427 = 179767

Step 1: Find the prime factorization of 421

421 = 421

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 = 179767 = 7 x 61 x 421

Step 4: Therefore, the least common multiple of 421 and 427 is 179767.