Least Common Multiple of 2945 and 2952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2945 and 2952 the smallest integer that is 8693640 that is divisible by both numbers.

Least Common Multiple (LCM) of 2945 and 2952 is 8693640.

LCM(2945,2952) = 8693640

LCM of 2945 and 2952

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

LCM of:
and

Least Common Multiple of 2945 and 2952

LCM of 2945 and 2952 is 8693640

Least common multiple can be found by multiplying the highest exponent prime factors of 2945 and 2952. First we will calculate the prime factors of 2945 and 2952.

Prime Factorization of 2945


5 2945
19 589
31 31
1

Prime factors of 2945 are 5, 19,31. Prime factorization of 2945 in exponential form is:

2945 = 51×191×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2945 and 2952.

LCM(2945,2952) = 23×32×51×191×311×411
LCM(2945,2952) = 8693640

Factors of 2945

List of positive integer factors of 2945 that divides 2945 without a remainder.

1, 5, 19, 31, 95, 155, 589, 2945

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

Least Common Multiple of 2945 and 2952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2945 and 2952, than apply into the LCM equation.

GCF(2945,2952) = 1
LCM(2945,2952) = ( 2945 × 2952) / 1
LCM(2945,2952) = 8693640 / 1
LCM(2945,2952) = 8693640

Properties of LCM 2945 and 2952

(i) The LCM of 2952 and 2945 is associative

LCM of 2945 and 2952 = LCM of 2952 and 2945

Related Least Common Multiples of 2945

Related Least Common Multiples of 2952

Frequently Asked Questions on LCM of 2945 and 2952

1. What is the LCM of 2945 and 2952?

Answer: LCM of 2945 and 2952 is 8693640.

2. What are the Factors of 2945?

Answer: Factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945. There are 8 integers that are factors of 2945. The greatest factor of 2945 is 2945.

3. 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.

4. How to Find the LCM of 2945 and 2952?

Answer:

Least Common Multiple of 2945 and 2952 = 8693640

Step 1: Find the prime factorization of 2945

2945 = 5 x 19 x 31

Step 2: Find the prime factorization of 2952

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

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

LCM = 8693640 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 31 x 41

Step 4: Therefore, the least common multiple of 2945 and 2952 is 8693640.