Least Common Multiple of 1420 and 1427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1420 and 1427 the smallest integer that is 2026340 that is divisible by both numbers.

Least Common Multiple (LCM) of 1420 and 1427 is 2026340.

LCM(1420,1427) = 2026340

LCM of 1420 and 1427

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

LCM of:
and

Least Common Multiple of 1420 and 1427

LCM of 1420 and 1427 is 2026340

Least common multiple can be found by multiplying the highest exponent prime factors of 1420 and 1427. First we will calculate the prime factors of 1420 and 1427.

Prime Factorization of 1420


2 1420
2 710
5 355
71 71
1

Prime factors of 1420 are 2, 5,71. Prime factorization of 1420 in exponential form is:

1420 = 22×51×711

Prime Factorization of 1427


1427 1427
1

Prime factors of 1427 are 1427. Prime factorization of 1427 in exponential form is:

1427 = 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 1420 and 1427.

LCM(1420,1427) = 22×51×711×14271
LCM(1420,1427) = 2026340

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420

Factors of 1427

List of positive integer factors of 1427 that divides 1427 without a remainder.

1, 1427

Least Common Multiple of 1420 and 1427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1420 and 1427, than apply into the LCM equation.

GCF(1420,1427) = 1
LCM(1420,1427) = ( 1420 × 1427) / 1
LCM(1420,1427) = 2026340 / 1
LCM(1420,1427) = 2026340

Properties of LCM 1420 and 1427

(i) The LCM of 1427 and 1420 is associative

LCM of 1420 and 1427 = LCM of 1427 and 1420

Related Least Common Multiples of 1420

Related Least Common Multiples of 1427

Frequently Asked Questions on LCM of 1420 and 1427

1. What is the LCM of 1420 and 1427?

Answer: LCM of 1420 and 1427 is 2026340.

2. What are the Factors of 1420?

Answer: Factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420. There are 12 integers that are factors of 1420. The greatest factor of 1420 is 1420.

3. What are the Factors of 1427?

Answer: Factors of 1427 are 1, 1427. There are 2 integers that are factors of 1427. The greatest factor of 1427 is 1427.

4. How to Find the LCM of 1420 and 1427?

Answer:

Least Common Multiple of 1420 and 1427 = 2026340

Step 1: Find the prime factorization of 1420

1420 = 2 x 2 x 5 x 71

Step 2: Find the prime factorization of 1427

1427 = 1427

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

LCM = 2026340 = 2 x 2 x 5 x 71 x 1427

Step 4: Therefore, the least common multiple of 1420 and 1427 is 2026340.