Least Common Multiple of 1469 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 1469 and 1474 the smallest integer that is 2165306 that is divisible by both numbers.

Least Common Multiple (LCM) of 1469 and 1474 is 2165306.

LCM(1469,1474) = 2165306

LCM of 1469 and 1474

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

LCM of:
and

Least Common Multiple of 1469 and 1474

LCM of 1469 and 1474 is 2165306

Least common multiple can be found by multiplying the highest exponent prime factors of 1469 and 1474. First we will calculate the prime factors of 1469 and 1474.

Prime Factorization of 1469


13 1469
113 113
1

Prime factors of 1469 are 13,113. Prime factorization of 1469 in exponential form is:

1469 = 131×1131

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 1469 and 1474.

LCM(1469,1474) = 21×111×131×671×1131
LCM(1469,1474) = 2165306

Factors of 1469

List of positive integer factors of 1469 that divides 1469 without a remainder.

1, 13, 113, 1469

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 1469 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 1469 and 1474, than apply into the LCM equation.

GCF(1469,1474) = 1
LCM(1469,1474) = ( 1469 × 1474) / 1
LCM(1469,1474) = 2165306 / 1
LCM(1469,1474) = 2165306

Properties of LCM 1469 and 1474

(i) The LCM of 1474 and 1469 is associative

LCM of 1469 and 1474 = LCM of 1474 and 1469

Related Least Common Multiples of 1469

Related Least Common Multiples of 1474

Frequently Asked Questions on LCM of 1469 and 1474

1. What is the LCM of 1469 and 1474?

Answer: LCM of 1469 and 1474 is 2165306.

2. What are the Factors of 1469?

Answer: Factors of 1469 are 1, 13, 113, 1469. There are 4 integers that are factors of 1469. The greatest factor of 1469 is 1469.

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 1469 and 1474?

Answer:

Least Common Multiple of 1469 and 1474 = 2165306

Step 1: Find the prime factorization of 1469

1469 = 13 x 113

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 = 2165306 = 2 x 11 x 13 x 67 x 113

Step 4: Therefore, the least common multiple of 1469 and 1474 is 2165306.