Least Common Multiple of 1474 and 1477

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 1477 the smallest integer that is 2177098 that is divisible by both numbers.

Least Common Multiple (LCM) of 1474 and 1477 is 2177098.

LCM(1474,1477) = 2177098

LCM of 1474 and 1477

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

LCM of:
and

Least Common Multiple of 1474 and 1477

LCM of 1474 and 1477 is 2177098

Least common multiple can be found by multiplying the highest exponent prime factors of 1474 and 1477. First we will calculate the prime factors of 1474 and 1477.

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 1477


7 1477
211 211
1

Prime factors of 1477 are 7,211. Prime factorization of 1477 in exponential form is:

1477 = 71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 1474 and 1477.

LCM(1474,1477) = 21×71×111×671×2111
LCM(1474,1477) = 2177098

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 1477

List of positive integer factors of 1477 that divides 1477 without a remainder.

1, 7, 211, 1477

Least Common Multiple of 1474 and 1477 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 1477, than apply into the LCM equation.

GCF(1474,1477) = 1
LCM(1474,1477) = ( 1474 × 1477) / 1
LCM(1474,1477) = 2177098 / 1
LCM(1474,1477) = 2177098

Properties of LCM 1474 and 1477

(i) The LCM of 1477 and 1474 is associative

LCM of 1474 and 1477 = LCM of 1477 and 1474

Related Least Common Multiples of 1474

Related Least Common Multiples of 1477

Frequently Asked Questions on LCM of 1474 and 1477

1. What is the LCM of 1474 and 1477?

Answer: LCM of 1474 and 1477 is 2177098.

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 1477?

Answer: Factors of 1477 are 1, 7, 211, 1477. There are 4 integers that are factors of 1477. The greatest factor of 1477 is 1477.

4. How to Find the LCM of 1474 and 1477?

Answer:

Least Common Multiple of 1474 and 1477 = 2177098

Step 1: Find the prime factorization of 1474

1474 = 2 x 11 x 67

Step 2: Find the prime factorization of 1477

1477 = 7 x 211

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

LCM = 2177098 = 2 x 7 x 11 x 67 x 211

Step 4: Therefore, the least common multiple of 1474 and 1477 is 2177098.