Least Common Multiple of 1407 and 1413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1407 and 1413 the smallest integer that is 662697 that is divisible by both numbers.

Least Common Multiple (LCM) of 1407 and 1413 is 662697.

LCM(1407,1413) = 662697

LCM of 1407 and 1413

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

LCM of:
and

Least Common Multiple of 1407 and 1413

LCM of 1407 and 1413 is 662697

Least common multiple can be found by multiplying the highest exponent prime factors of 1407 and 1413. First we will calculate the prime factors of 1407 and 1413.

Prime Factorization of 1407


3 1407
7 469
67 67
1

Prime factors of 1407 are 3, 7,67. Prime factorization of 1407 in exponential form is:

1407 = 31×71×671

Prime Factorization of 1413


3 1413
3 471
157 157
1

Prime factors of 1413 are 3,157. Prime factorization of 1413 in exponential form is:

1413 = 32×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1407 and 1413.

LCM(1407,1413) = 32×71×671×1571
LCM(1407,1413) = 662697

Factors of 1407

List of positive integer factors of 1407 that divides 1407 without a remainder.

1, 3, 7, 21, 67, 201, 469, 1407

Factors of 1413

List of positive integer factors of 1413 that divides 1413 without a remainder.

1, 3, 9, 157, 471, 1413

Least Common Multiple of 1407 and 1413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1407 and 1413, than apply into the LCM equation.

GCF(1407,1413) = 3
LCM(1407,1413) = ( 1407 × 1413) / 3
LCM(1407,1413) = 1988091 / 3
LCM(1407,1413) = 662697

Properties of LCM 1407 and 1413

(i) The LCM of 1413 and 1407 is associative

LCM of 1407 and 1413 = LCM of 1413 and 1407

Related Least Common Multiples of 1407

Related Least Common Multiples of 1413

Frequently Asked Questions on LCM of 1407 and 1413

1. What is the LCM of 1407 and 1413?

Answer: LCM of 1407 and 1413 is 662697.

2. What are the Factors of 1407?

Answer: Factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407. There are 8 integers that are factors of 1407. The greatest factor of 1407 is 1407.

3. What are the Factors of 1413?

Answer: Factors of 1413 are 1, 3, 9, 157, 471, 1413. There are 6 integers that are factors of 1413. The greatest factor of 1413 is 1413.

4. How to Find the LCM of 1407 and 1413?

Answer:

Least Common Multiple of 1407 and 1413 = 662697

Step 1: Find the prime factorization of 1407

1407 = 3 x 7 x 67

Step 2: Find the prime factorization of 1413

1413 = 3 x 3 x 157

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

LCM = 662697 = 3 x 3 x 7 x 67 x 157

Step 4: Therefore, the least common multiple of 1407 and 1413 is 662697.