Least Common Multiple of 4470 and 4476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4470 and 4476 the smallest integer that is 3334620 that is divisible by both numbers.

Least Common Multiple (LCM) of 4470 and 4476 is 3334620.

LCM(4470,4476) = 3334620

LCM of 4470 and 4476

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

LCM of:
and

Least Common Multiple of 4470 and 4476

LCM of 4470 and 4476 is 3334620

Least common multiple can be found by multiplying the highest exponent prime factors of 4470 and 4476. First we will calculate the prime factors of 4470 and 4476.

Prime Factorization of 4470


2 4470
3 2235
5 745
149 149
1

Prime factors of 4470 are 2, 3, 5,149. Prime factorization of 4470 in exponential form is:

4470 = 21×31×51×1491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4470 and 4476.

LCM(4470,4476) = 22×31×51×1491×3731
LCM(4470,4476) = 3334620

Factors of 4470

List of positive integer factors of 4470 that divides 4470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470

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

Least Common Multiple of 4470 and 4476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4470 and 4476, than apply into the LCM equation.

GCF(4470,4476) = 6
LCM(4470,4476) = ( 4470 × 4476) / 6
LCM(4470,4476) = 20007720 / 6
LCM(4470,4476) = 3334620

Properties of LCM 4470 and 4476

(i) The LCM of 4476 and 4470 is associative

LCM of 4470 and 4476 = LCM of 4476 and 4470

Related Least Common Multiples of 4470

Related Least Common Multiples of 4476

Frequently Asked Questions on LCM of 4470 and 4476

1. What is the LCM of 4470 and 4476?

Answer: LCM of 4470 and 4476 is 3334620.

2. What are the Factors of 4470?

Answer: Factors of 4470 are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470. There are 16 integers that are factors of 4470. The greatest factor of 4470 is 4470.

3. 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.

4. How to Find the LCM of 4470 and 4476?

Answer:

Least Common Multiple of 4470 and 4476 = 3334620

Step 1: Find the prime factorization of 4470

4470 = 2 x 3 x 5 x 149

Step 2: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

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

LCM = 3334620 = 2 x 2 x 3 x 5 x 149 x 373

Step 4: Therefore, the least common multiple of 4470 and 4476 is 3334620.