Least Common Multiple of 1422 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 1422 and 1427 the smallest integer that is 2029194 that is divisible by both numbers.

Least Common Multiple (LCM) of 1422 and 1427 is 2029194.

LCM(1422,1427) = 2029194

LCM of 1422 and 1427

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

LCM of:
and

Least Common Multiple of 1422 and 1427

LCM of 1422 and 1427 is 2029194

Least common multiple can be found by multiplying the highest exponent prime factors of 1422 and 1427. First we will calculate the prime factors of 1422 and 1427.

Prime Factorization of 1422


2 1422
3 711
3 237
79 79
1

Prime factors of 1422 are 2, 3,79. Prime factorization of 1422 in exponential form is:

1422 = 21×32×791

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 1422 and 1427.

LCM(1422,1427) = 21×32×791×14271
LCM(1422,1427) = 2029194

Factors of 1422

List of positive integer factors of 1422 that divides 1422 without a remainder.

1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422

Factors of 1427

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

1, 1427

Least Common Multiple of 1422 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 1422 and 1427, than apply into the LCM equation.

GCF(1422,1427) = 1
LCM(1422,1427) = ( 1422 × 1427) / 1
LCM(1422,1427) = 2029194 / 1
LCM(1422,1427) = 2029194

Properties of LCM 1422 and 1427

(i) The LCM of 1427 and 1422 is associative

LCM of 1422 and 1427 = LCM of 1427 and 1422

Related Least Common Multiples of 1422

Related Least Common Multiples of 1427

Frequently Asked Questions on LCM of 1422 and 1427

1. What is the LCM of 1422 and 1427?

Answer: LCM of 1422 and 1427 is 2029194.

2. What are the Factors of 1422?

Answer: Factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422. There are 12 integers that are factors of 1422. The greatest factor of 1422 is 1422.

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 1422 and 1427?

Answer:

Least Common Multiple of 1422 and 1427 = 2029194

Step 1: Find the prime factorization of 1422

1422 = 2 x 3 x 3 x 79

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 = 2029194 = 2 x 3 x 3 x 79 x 1427

Step 4: Therefore, the least common multiple of 1422 and 1427 is 2029194.