Least Common Multiple of 5952 and 5960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5952 and 5960 the smallest integer that is 4434240 that is divisible by both numbers.

Least Common Multiple (LCM) of 5952 and 5960 is 4434240.

LCM(5952,5960) = 4434240

LCM of 5952 and 5960

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

LCM of:
and

Least Common Multiple of 5952 and 5960

LCM of 5952 and 5960 is 4434240

Least common multiple can be found by multiplying the highest exponent prime factors of 5952 and 5960. First we will calculate the prime factors of 5952 and 5960.

Prime Factorization of 5952


2 5952
2 2976
2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 5952 are 2, 3,31. Prime factorization of 5952 in exponential form is:

5952 = 26×31×311

Prime Factorization of 5960


2 5960
2 2980
2 1490
5 745
149 149
1

Prime factors of 5960 are 2, 5,149. Prime factorization of 5960 in exponential form is:

5960 = 23×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5952 and 5960.

LCM(5952,5960) = 26×31×51×311×1491
LCM(5952,5960) = 4434240

Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952

Factors of 5960

List of positive integer factors of 5960 that divides 5960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960

Least Common Multiple of 5952 and 5960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5952 and 5960, than apply into the LCM equation.

GCF(5952,5960) = 8
LCM(5952,5960) = ( 5952 × 5960) / 8
LCM(5952,5960) = 35473920 / 8
LCM(5952,5960) = 4434240

Properties of LCM 5952 and 5960

(i) The LCM of 5960 and 5952 is associative

LCM of 5952 and 5960 = LCM of 5960 and 5952

Related Least Common Multiples of 5952

Related Least Common Multiples of 5960

Frequently Asked Questions on LCM of 5952 and 5960

1. What is the LCM of 5952 and 5960?

Answer: LCM of 5952 and 5960 is 4434240.

2. What are the Factors of 5952?

Answer: Factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952. There are 28 integers that are factors of 5952. The greatest factor of 5952 is 5952.

3. What are the Factors of 5960?

Answer: Factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960. There are 16 integers that are factors of 5960. The greatest factor of 5960 is 5960.

4. How to Find the LCM of 5952 and 5960?

Answer:

Least Common Multiple of 5952 and 5960 = 4434240

Step 1: Find the prime factorization of 5952

5952 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 5960

5960 = 2 x 2 x 2 x 5 x 149

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

LCM = 4434240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 149

Step 4: Therefore, the least common multiple of 5952 and 5960 is 4434240.