Least Common Multiple of 2466 and 2472

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 2472 the smallest integer that is 1015992 that is divisible by both numbers.

Least Common Multiple (LCM) of 2466 and 2472 is 1015992.

LCM(2466,2472) = 1015992

LCM of 2466 and 2472

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

LCM of:
and

Least Common Multiple of 2466 and 2472

LCM of 2466 and 2472 is 1015992

Least common multiple can be found by multiplying the highest exponent prime factors of 2466 and 2472. First we will calculate the prime factors of 2466 and 2472.

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 2472


2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 2472 are 2, 3,103. Prime factorization of 2472 in exponential form is:

2472 = 23×31×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2466 and 2472.

LCM(2466,2472) = 23×32×1031×1371
LCM(2466,2472) = 1015992

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 2472

List of positive integer factors of 2472 that divides 2472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472

Least Common Multiple of 2466 and 2472 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 2472, than apply into the LCM equation.

GCF(2466,2472) = 6
LCM(2466,2472) = ( 2466 × 2472) / 6
LCM(2466,2472) = 6095952 / 6
LCM(2466,2472) = 1015992

Properties of LCM 2466 and 2472

(i) The LCM of 2472 and 2466 is associative

LCM of 2466 and 2472 = LCM of 2472 and 2466

Related Least Common Multiples of 2466

Related Least Common Multiples of 2472

Frequently Asked Questions on LCM of 2466 and 2472

1. What is the LCM of 2466 and 2472?

Answer: LCM of 2466 and 2472 is 1015992.

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 2472?

Answer: Factors of 2472 are 1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472. There are 16 integers that are factors of 2472. The greatest factor of 2472 is 2472.

4. How to Find the LCM of 2466 and 2472?

Answer:

Least Common Multiple of 2466 and 2472 = 1015992

Step 1: Find the prime factorization of 2466

2466 = 2 x 3 x 3 x 137

Step 2: Find the prime factorization of 2472

2472 = 2 x 2 x 2 x 3 x 103

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

LCM = 1015992 = 2 x 2 x 2 x 3 x 3 x 103 x 137

Step 4: Therefore, the least common multiple of 2466 and 2472 is 1015992.