Least Common Multiple of 1475 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 1475 and 1477 the smallest integer that is 2178575 that is divisible by both numbers.

Least Common Multiple (LCM) of 1475 and 1477 is 2178575.

LCM(1475,1477) = 2178575

LCM of 1475 and 1477

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

LCM of:
and

Least Common Multiple of 1475 and 1477

LCM of 1475 and 1477 is 2178575

Least common multiple can be found by multiplying the highest exponent prime factors of 1475 and 1477. First we will calculate the prime factors of 1475 and 1477.

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

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 1475 and 1477.

LCM(1475,1477) = 52×71×591×2111
LCM(1475,1477) = 2178575

Factors of 1475

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

1, 5, 25, 59, 295, 1475

Factors of 1477

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

1, 7, 211, 1477

Least Common Multiple of 1475 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 1475 and 1477, than apply into the LCM equation.

GCF(1475,1477) = 1
LCM(1475,1477) = ( 1475 × 1477) / 1
LCM(1475,1477) = 2178575 / 1
LCM(1475,1477) = 2178575

Properties of LCM 1475 and 1477

(i) The LCM of 1477 and 1475 is associative

LCM of 1475 and 1477 = LCM of 1477 and 1475

Related Least Common Multiples of 1475

Related Least Common Multiples of 1477

Frequently Asked Questions on LCM of 1475 and 1477

1. What is the LCM of 1475 and 1477?

Answer: LCM of 1475 and 1477 is 2178575.

2. 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.

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 1475 and 1477?

Answer:

Least Common Multiple of 1475 and 1477 = 2178575

Step 1: Find the prime factorization of 1475

1475 = 5 x 5 x 59

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 = 2178575 = 5 x 5 x 7 x 59 x 211

Step 4: Therefore, the least common multiple of 1475 and 1477 is 2178575.