Least Common Multiple of 1467 and 1474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1467 and 1474 the smallest integer that is 2162358 that is divisible by both numbers.

Least Common Multiple (LCM) of 1467 and 1474 is 2162358.

LCM(1467,1474) = 2162358

LCM of 1467 and 1474

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

LCM of:
and

Least Common Multiple of 1467 and 1474

LCM of 1467 and 1474 is 2162358

Least common multiple can be found by multiplying the highest exponent prime factors of 1467 and 1474. First we will calculate the prime factors of 1467 and 1474.

Prime Factorization of 1467


3 1467
3 489
163 163
1

Prime factors of 1467 are 3,163. Prime factorization of 1467 in exponential form is:

1467 = 32×1631

Prime Factorization of 1474


2 1474
11 737
67 67
1

Prime factors of 1474 are 2, 11,67. Prime factorization of 1474 in exponential form is:

1474 = 21×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1467 and 1474.

LCM(1467,1474) = 21×32×111×671×1631
LCM(1467,1474) = 2162358

Factors of 1467

List of positive integer factors of 1467 that divides 1467 without a remainder.

1, 3, 9, 163, 489, 1467

Factors of 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1, 2, 11, 22, 67, 134, 737, 1474

Least Common Multiple of 1467 and 1474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1467 and 1474, than apply into the LCM equation.

GCF(1467,1474) = 1
LCM(1467,1474) = ( 1467 × 1474) / 1
LCM(1467,1474) = 2162358 / 1
LCM(1467,1474) = 2162358

Properties of LCM 1467 and 1474

(i) The LCM of 1474 and 1467 is associative

LCM of 1467 and 1474 = LCM of 1474 and 1467

Related Least Common Multiples of 1467

Related Least Common Multiples of 1474

Frequently Asked Questions on LCM of 1467 and 1474

1. What is the LCM of 1467 and 1474?

Answer: LCM of 1467 and 1474 is 2162358.

2. What are the Factors of 1467?

Answer: Factors of 1467 are 1, 3, 9, 163, 489, 1467. There are 6 integers that are factors of 1467. The greatest factor of 1467 is 1467.

3. What are the Factors of 1474?

Answer: Factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474. There are 8 integers that are factors of 1474. The greatest factor of 1474 is 1474.

4. How to Find the LCM of 1467 and 1474?

Answer:

Least Common Multiple of 1467 and 1474 = 2162358

Step 1: Find the prime factorization of 1467

1467 = 3 x 3 x 163

Step 2: Find the prime factorization of 1474

1474 = 2 x 11 x 67

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

LCM = 2162358 = 2 x 3 x 3 x 11 x 67 x 163

Step 4: Therefore, the least common multiple of 1467 and 1474 is 2162358.