Least Common Multiple of 3473 and 3476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3473 and 3476 the smallest integer that is 12072148 that is divisible by both numbers.

Least Common Multiple (LCM) of 3473 and 3476 is 12072148.

LCM(3473,3476) = 12072148

LCM of 3473 and 3476

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

LCM of:
and

Least Common Multiple of 3473 and 3476

LCM of 3473 and 3476 is 12072148

Least common multiple can be found by multiplying the highest exponent prime factors of 3473 and 3476. First we will calculate the prime factors of 3473 and 3476.

Prime Factorization of 3473


23 3473
151 151
1

Prime factors of 3473 are 23,151. Prime factorization of 3473 in exponential form is:

3473 = 231×1511

Prime Factorization of 3476


2 3476
2 1738
11 869
79 79
1

Prime factors of 3476 are 2, 11,79. Prime factorization of 3476 in exponential form is:

3476 = 22×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3473 and 3476.

LCM(3473,3476) = 22×111×231×791×1511
LCM(3473,3476) = 12072148

Factors of 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1, 23, 151, 3473

Factors of 3476

List of positive integer factors of 3476 that divides 3476 without a remainder.

1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476

Least Common Multiple of 3473 and 3476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3473 and 3476, than apply into the LCM equation.

GCF(3473,3476) = 1
LCM(3473,3476) = ( 3473 × 3476) / 1
LCM(3473,3476) = 12072148 / 1
LCM(3473,3476) = 12072148

Properties of LCM 3473 and 3476

(i) The LCM of 3476 and 3473 is associative

LCM of 3473 and 3476 = LCM of 3476 and 3473

Related Least Common Multiples of 3473

Related Least Common Multiples of 3476

Frequently Asked Questions on LCM of 3473 and 3476

1. What is the LCM of 3473 and 3476?

Answer: LCM of 3473 and 3476 is 12072148.

2. What are the Factors of 3473?

Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.

3. What are the Factors of 3476?

Answer: Factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476. There are 12 integers that are factors of 3476. The greatest factor of 3476 is 3476.

4. How to Find the LCM of 3473 and 3476?

Answer:

Least Common Multiple of 3473 and 3476 = 12072148

Step 1: Find the prime factorization of 3473

3473 = 23 x 151

Step 2: Find the prime factorization of 3476

3476 = 2 x 2 x 11 x 79

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

LCM = 12072148 = 2 x 2 x 11 x 23 x 79 x 151

Step 4: Therefore, the least common multiple of 3473 and 3476 is 12072148.