Least Common Multiple of 4476 and 4477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4476 and 4477 the smallest integer that is 20039052 that is divisible by both numbers.

Least Common Multiple (LCM) of 4476 and 4477 is 20039052.

LCM(4476,4477) = 20039052

LCM of 4476 and 4477

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

LCM of:
and

Least Common Multiple of 4476 and 4477

LCM of 4476 and 4477 is 20039052

Least common multiple can be found by multiplying the highest exponent prime factors of 4476 and 4477. First we will calculate the prime factors of 4476 and 4477.

Prime Factorization of 4476


2 4476
2 2238
3 1119
373 373
1

Prime factors of 4476 are 2, 3,373. Prime factorization of 4476 in exponential form is:

4476 = 22×31×3731

Prime Factorization of 4477


11 4477
11 407
37 37
1

Prime factors of 4477 are 11,37. Prime factorization of 4477 in exponential form is:

4477 = 112×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4476 and 4477.

LCM(4476,4477) = 22×31×112×371×3731
LCM(4476,4477) = 20039052

Factors of 4476

List of positive integer factors of 4476 that divides 4476 without a remainder.

1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476

Factors of 4477

List of positive integer factors of 4477 that divides 4477 without a remainder.

1, 11, 37, 121, 407, 4477

Least Common Multiple of 4476 and 4477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4476 and 4477, than apply into the LCM equation.

GCF(4476,4477) = 1
LCM(4476,4477) = ( 4476 × 4477) / 1
LCM(4476,4477) = 20039052 / 1
LCM(4476,4477) = 20039052

Properties of LCM 4476 and 4477

(i) The LCM of 4477 and 4476 is associative

LCM of 4476 and 4477 = LCM of 4477 and 4476

Related Least Common Multiples of 4476

Related Least Common Multiples of 4477

Frequently Asked Questions on LCM of 4476 and 4477

1. What is the LCM of 4476 and 4477?

Answer: LCM of 4476 and 4477 is 20039052.

2. What are the Factors of 4476?

Answer: Factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476. There are 12 integers that are factors of 4476. The greatest factor of 4476 is 4476.

3. What are the Factors of 4477?

Answer: Factors of 4477 are 1, 11, 37, 121, 407, 4477. There are 6 integers that are factors of 4477. The greatest factor of 4477 is 4477.

4. How to Find the LCM of 4476 and 4477?

Answer:

Least Common Multiple of 4476 and 4477 = 20039052

Step 1: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

Step 2: Find the prime factorization of 4477

4477 = 11 x 11 x 37

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

LCM = 20039052 = 2 x 2 x 3 x 11 x 11 x 37 x 373

Step 4: Therefore, the least common multiple of 4476 and 4477 is 20039052.