Least Common Multiple of 2952 and 2959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2952 and 2959 the smallest integer that is 8734968 that is divisible by both numbers.

Least Common Multiple (LCM) of 2952 and 2959 is 8734968.

LCM(2952,2959) = 8734968

LCM of 2952 and 2959

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

LCM of:
and

Least Common Multiple of 2952 and 2959

LCM of 2952 and 2959 is 8734968

Least common multiple can be found by multiplying the highest exponent prime factors of 2952 and 2959. First we will calculate the prime factors of 2952 and 2959.

Prime Factorization of 2952


2 2952
2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 2952 are 2, 3,41. Prime factorization of 2952 in exponential form is:

2952 = 23×32×411

Prime Factorization of 2959


11 2959
269 269
1

Prime factors of 2959 are 11,269. Prime factorization of 2959 in exponential form is:

2959 = 111×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 2952 and 2959.

LCM(2952,2959) = 23×32×111×411×2691
LCM(2952,2959) = 8734968

Factors of 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952

Factors of 2959

List of positive integer factors of 2959 that divides 2959 without a remainder.

1, 11, 269, 2959

Least Common Multiple of 2952 and 2959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2952 and 2959, than apply into the LCM equation.

GCF(2952,2959) = 1
LCM(2952,2959) = ( 2952 × 2959) / 1
LCM(2952,2959) = 8734968 / 1
LCM(2952,2959) = 8734968

Properties of LCM 2952 and 2959

(i) The LCM of 2959 and 2952 is associative

LCM of 2952 and 2959 = LCM of 2959 and 2952

Related Least Common Multiples of 2952

Related Least Common Multiples of 2959

Frequently Asked Questions on LCM of 2952 and 2959

1. What is the LCM of 2952 and 2959?

Answer: LCM of 2952 and 2959 is 8734968.

2. What are the Factors of 2952?

Answer: Factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952. There are 24 integers that are factors of 2952. The greatest factor of 2952 is 2952.

3. What are the Factors of 2959?

Answer: Factors of 2959 are 1, 11, 269, 2959. There are 4 integers that are factors of 2959. The greatest factor of 2959 is 2959.

4. How to Find the LCM of 2952 and 2959?

Answer:

Least Common Multiple of 2952 and 2959 = 8734968

Step 1: Find the prime factorization of 2952

2952 = 2 x 2 x 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 2959

2959 = 11 x 269

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

LCM = 8734968 = 2 x 2 x 2 x 3 x 3 x 11 x 41 x 269

Step 4: Therefore, the least common multiple of 2952 and 2959 is 8734968.