Least Common Multiple of 2466 and 2470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2466 and 2470 the smallest integer that is 3045510 that is divisible by both numbers.

Least Common Multiple (LCM) of 2466 and 2470 is 3045510.

LCM(2466,2470) = 3045510

LCM of 2466 and 2470

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

LCM of:
and

Least Common Multiple of 2466 and 2470

LCM of 2466 and 2470 is 3045510

Least common multiple can be found by multiplying the highest exponent prime factors of 2466 and 2470. First we will calculate the prime factors of 2466 and 2470.

Prime Factorization of 2466


2 2466
3 1233
3 411
137 137
1

Prime factors of 2466 are 2, 3,137. Prime factorization of 2466 in exponential form is:

2466 = 21×32×1371

Prime Factorization of 2470


2 2470
5 1235
13 247
19 19
1

Prime factors of 2470 are 2, 5, 13,19. Prime factorization of 2470 in exponential form is:

2470 = 21×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2466 and 2470.

LCM(2466,2470) = 21×32×51×131×191×1371
LCM(2466,2470) = 3045510

Factors of 2466

List of positive integer factors of 2466 that divides 2466 without a remainder.

1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233, 2466

Factors of 2470

List of positive integer factors of 2470 that divides 2470 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470

Least Common Multiple of 2466 and 2470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2466 and 2470, than apply into the LCM equation.

GCF(2466,2470) = 2
LCM(2466,2470) = ( 2466 × 2470) / 2
LCM(2466,2470) = 6091020 / 2
LCM(2466,2470) = 3045510

Properties of LCM 2466 and 2470

(i) The LCM of 2470 and 2466 is associative

LCM of 2466 and 2470 = LCM of 2470 and 2466

Related Least Common Multiples of 2466

Related Least Common Multiples of 2470

Frequently Asked Questions on LCM of 2466 and 2470

1. What is the LCM of 2466 and 2470?

Answer: LCM of 2466 and 2470 is 3045510.

2. What are the Factors of 2466?

Answer: Factors of 2466 are 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233, 2466. There are 12 integers that are factors of 2466. The greatest factor of 2466 is 2466.

3. What are the Factors of 2470?

Answer: Factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470. There are 16 integers that are factors of 2470. The greatest factor of 2470 is 2470.

4. How to Find the LCM of 2466 and 2470?

Answer:

Least Common Multiple of 2466 and 2470 = 3045510

Step 1: Find the prime factorization of 2466

2466 = 2 x 3 x 3 x 137

Step 2: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

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

LCM = 3045510 = 2 x 3 x 3 x 5 x 13 x 19 x 137

Step 4: Therefore, the least common multiple of 2466 and 2470 is 3045510.