Least Common Multiple of 1474 and 1475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1474 and 1475 the smallest integer that is 2174150 that is divisible by both numbers.

Least Common Multiple (LCM) of 1474 and 1475 is 2174150.

LCM(1474,1475) = 2174150

LCM of 1474 and 1475

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

LCM of:
and

Least Common Multiple of 1474 and 1475

LCM of 1474 and 1475 is 2174150

Least common multiple can be found by multiplying the highest exponent prime factors of 1474 and 1475. First we will calculate the prime factors of 1474 and 1475.

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

Prime Factorization of 1475


5 1475
5 295
59 59
1

Prime factors of 1475 are 5,59. Prime factorization of 1475 in exponential form is:

1475 = 52×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1474 and 1475.

LCM(1474,1475) = 21×52×111×591×671
LCM(1474,1475) = 2174150

Factors of 1474

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

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

Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1, 5, 25, 59, 295, 1475

Least Common Multiple of 1474 and 1475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1474 and 1475, than apply into the LCM equation.

GCF(1474,1475) = 1
LCM(1474,1475) = ( 1474 × 1475) / 1
LCM(1474,1475) = 2174150 / 1
LCM(1474,1475) = 2174150

Properties of LCM 1474 and 1475

(i) The LCM of 1475 and 1474 is associative

LCM of 1474 and 1475 = LCM of 1475 and 1474

Related Least Common Multiples of 1474

Related Least Common Multiples of 1475

Frequently Asked Questions on LCM of 1474 and 1475

1. What is the LCM of 1474 and 1475?

Answer: LCM of 1474 and 1475 is 2174150.

2. 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.

3. What are the Factors of 1475?

Answer: Factors of 1475 are 1, 5, 25, 59, 295, 1475. There are 6 integers that are factors of 1475. The greatest factor of 1475 is 1475.

4. How to Find the LCM of 1474 and 1475?

Answer:

Least Common Multiple of 1474 and 1475 = 2174150

Step 1: Find the prime factorization of 1474

1474 = 2 x 11 x 67

Step 2: Find the prime factorization of 1475

1475 = 5 x 5 x 59

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

LCM = 2174150 = 2 x 5 x 5 x 11 x 59 x 67

Step 4: Therefore, the least common multiple of 1474 and 1475 is 2174150.