Least Common Multiple of 2460 and 2466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2460 and 2466 the smallest integer that is 1011060 that is divisible by both numbers.

Least Common Multiple (LCM) of 2460 and 2466 is 1011060.

LCM(2460,2466) = 1011060

LCM of 2460 and 2466

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

LCM of:
and

Least Common Multiple of 2460 and 2466

LCM of 2460 and 2466 is 1011060

Least common multiple can be found by multiplying the highest exponent prime factors of 2460 and 2466. First we will calculate the prime factors of 2460 and 2466.

Prime Factorization of 2460


2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 2460 are 2, 3, 5,41. Prime factorization of 2460 in exponential form is:

2460 = 22×31×51×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2460 and 2466.

LCM(2460,2466) = 22×32×51×411×1371
LCM(2460,2466) = 1011060

Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460

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

Least Common Multiple of 2460 and 2466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2460 and 2466, than apply into the LCM equation.

GCF(2460,2466) = 6
LCM(2460,2466) = ( 2460 × 2466) / 6
LCM(2460,2466) = 6066360 / 6
LCM(2460,2466) = 1011060

Properties of LCM 2460 and 2466

(i) The LCM of 2466 and 2460 is associative

LCM of 2460 and 2466 = LCM of 2466 and 2460

Related Least Common Multiples of 2460

Related Least Common Multiples of 2466

Frequently Asked Questions on LCM of 2460 and 2466

1. What is the LCM of 2460 and 2466?

Answer: LCM of 2460 and 2466 is 1011060.

2. What are the Factors of 2460?

Answer: Factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460. There are 24 integers that are factors of 2460. The greatest factor of 2460 is 2460.

3. 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.

4. How to Find the LCM of 2460 and 2466?

Answer:

Least Common Multiple of 2460 and 2466 = 1011060

Step 1: Find the prime factorization of 2460

2460 = 2 x 2 x 3 x 5 x 41

Step 2: Find the prime factorization of 2466

2466 = 2 x 3 x 3 x 137

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

LCM = 1011060 = 2 x 2 x 3 x 3 x 5 x 41 x 137

Step 4: Therefore, the least common multiple of 2460 and 2466 is 1011060.