Least Common Multiple of 3473 and 3480

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 3480 the smallest integer that is 12086040 that is divisible by both numbers.

Least Common Multiple (LCM) of 3473 and 3480 is 12086040.

LCM(3473,3480) = 12086040

LCM of 3473 and 3480

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

LCM of:
and

Least Common Multiple of 3473 and 3480

LCM of 3473 and 3480 is 12086040

Least common multiple can be found by multiplying the highest exponent prime factors of 3473 and 3480. First we will calculate the prime factors of 3473 and 3480.

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 3480


2 3480
2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 3480 are 2, 3, 5,29. Prime factorization of 3480 in exponential form is:

3480 = 23×31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3473 and 3480.

LCM(3473,3480) = 23×31×51×231×291×1511
LCM(3473,3480) = 12086040

Factors of 3473

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

1, 23, 151, 3473

Factors of 3480

List of positive integer factors of 3480 that divides 3480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480

Least Common Multiple of 3473 and 3480 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 3480, than apply into the LCM equation.

GCF(3473,3480) = 1
LCM(3473,3480) = ( 3473 × 3480) / 1
LCM(3473,3480) = 12086040 / 1
LCM(3473,3480) = 12086040

Properties of LCM 3473 and 3480

(i) The LCM of 3480 and 3473 is associative

LCM of 3473 and 3480 = LCM of 3480 and 3473

Related Least Common Multiples of 3473

Related Least Common Multiples of 3480

Frequently Asked Questions on LCM of 3473 and 3480

1. What is the LCM of 3473 and 3480?

Answer: LCM of 3473 and 3480 is 12086040.

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 3480?

Answer: Factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480. There are 32 integers that are factors of 3480. The greatest factor of 3480 is 3480.

4. How to Find the LCM of 3473 and 3480?

Answer:

Least Common Multiple of 3473 and 3480 = 12086040

Step 1: Find the prime factorization of 3473

3473 = 23 x 151

Step 2: Find the prime factorization of 3480

3480 = 2 x 2 x 2 x 3 x 5 x 29

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

LCM = 12086040 = 2 x 2 x 2 x 3 x 5 x 23 x 29 x 151

Step 4: Therefore, the least common multiple of 3473 and 3480 is 12086040.