Least Common Multiple of 1477 and 1481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1477 and 1481 the smallest integer that is 2187437 that is divisible by both numbers.

Least Common Multiple (LCM) of 1477 and 1481 is 2187437.

LCM(1477,1481) = 2187437

LCM of 1477 and 1481

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

LCM of:
and

Least Common Multiple of 1477 and 1481

LCM of 1477 and 1481 is 2187437

Least common multiple can be found by multiplying the highest exponent prime factors of 1477 and 1481. First we will calculate the prime factors of 1477 and 1481.

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

Prime Factorization of 1481


1481 1481
1

Prime factors of 1481 are 1481. Prime factorization of 1481 in exponential form is:

1481 = 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 1477 and 1481.

LCM(1477,1481) = 71×2111×14811
LCM(1477,1481) = 2187437

Factors of 1477

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

1, 7, 211, 1477

Factors of 1481

List of positive integer factors of 1481 that divides 1481 without a remainder.

1, 1481

Least Common Multiple of 1477 and 1481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1477 and 1481, than apply into the LCM equation.

GCF(1477,1481) = 1
LCM(1477,1481) = ( 1477 × 1481) / 1
LCM(1477,1481) = 2187437 / 1
LCM(1477,1481) = 2187437

Properties of LCM 1477 and 1481

(i) The LCM of 1481 and 1477 is associative

LCM of 1477 and 1481 = LCM of 1481 and 1477

Related Least Common Multiples of 1477

Related Least Common Multiples of 1481

Frequently Asked Questions on LCM of 1477 and 1481

1. What is the LCM of 1477 and 1481?

Answer: LCM of 1477 and 1481 is 2187437.

2. 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.

3. What are the Factors of 1481?

Answer: Factors of 1481 are 1, 1481. There are 2 integers that are factors of 1481. The greatest factor of 1481 is 1481.

4. How to Find the LCM of 1477 and 1481?

Answer:

Least Common Multiple of 1477 and 1481 = 2187437

Step 1: Find the prime factorization of 1477

1477 = 7 x 211

Step 2: Find the prime factorization of 1481

1481 = 1481

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

LCM = 2187437 = 7 x 211 x 1481

Step 4: Therefore, the least common multiple of 1477 and 1481 is 2187437.