Least Common Multiple of 1472 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 1472 and 1477 the smallest integer that is 2174144 that is divisible by both numbers.

Least Common Multiple (LCM) of 1472 and 1477 is 2174144.

LCM(1472,1477) = 2174144

LCM of 1472 and 1477

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

LCM of:
and

Least Common Multiple of 1472 and 1477

LCM of 1472 and 1477 is 2174144

Least common multiple can be found by multiplying the highest exponent prime factors of 1472 and 1477. First we will calculate the prime factors of 1472 and 1477.

Prime Factorization of 1472


2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 1472 are 2,23. Prime factorization of 1472 in exponential form is:

1472 = 26×231

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 1472 and 1477.

LCM(1472,1477) = 26×71×231×2111
LCM(1472,1477) = 2174144

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472

Factors of 1477

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

1, 7, 211, 1477

Least Common Multiple of 1472 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 1472 and 1477, than apply into the LCM equation.

GCF(1472,1477) = 1
LCM(1472,1477) = ( 1472 × 1477) / 1
LCM(1472,1477) = 2174144 / 1
LCM(1472,1477) = 2174144

Properties of LCM 1472 and 1477

(i) The LCM of 1477 and 1472 is associative

LCM of 1472 and 1477 = LCM of 1477 and 1472

Related Least Common Multiples of 1472

Related Least Common Multiples of 1477

Frequently Asked Questions on LCM of 1472 and 1477

1. What is the LCM of 1472 and 1477?

Answer: LCM of 1472 and 1477 is 2174144.

2. What are the Factors of 1472?

Answer: Factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. There are 14 integers that are factors of 1472. The greatest factor of 1472 is 1472.

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 1472 and 1477?

Answer:

Least Common Multiple of 1472 and 1477 = 2174144

Step 1: Find the prime factorization of 1472

1472 = 2 x 2 x 2 x 2 x 2 x 2 x 23

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 = 2174144 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 23 x 211

Step 4: Therefore, the least common multiple of 1472 and 1477 is 2174144.