Least Common Multiple of 5952 and 5959

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 5959 the smallest integer that is 35467968 that is divisible by both numbers.

Least Common Multiple (LCM) of 5952 and 5959 is 35467968.

LCM(5952,5959) = 35467968

LCM of 5952 and 5959

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

LCM of:
and

Least Common Multiple of 5952 and 5959

LCM of 5952 and 5959 is 35467968

Least common multiple can be found by multiplying the highest exponent prime factors of 5952 and 5959. First we will calculate the prime factors of 5952 and 5959.

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 5959


59 5959
101 101
1

Prime factors of 5959 are 59,101. Prime factorization of 5959 in exponential form is:

5959 = 591×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5952 and 5959.

LCM(5952,5959) = 26×31×311×591×1011
LCM(5952,5959) = 35467968

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 5959

List of positive integer factors of 5959 that divides 5959 without a remainder.

1, 59, 101, 5959

Least Common Multiple of 5952 and 5959 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 5959, than apply into the LCM equation.

GCF(5952,5959) = 1
LCM(5952,5959) = ( 5952 × 5959) / 1
LCM(5952,5959) = 35467968 / 1
LCM(5952,5959) = 35467968

Properties of LCM 5952 and 5959

(i) The LCM of 5959 and 5952 is associative

LCM of 5952 and 5959 = LCM of 5959 and 5952

Related Least Common Multiples of 5952

Related Least Common Multiples of 5959

Frequently Asked Questions on LCM of 5952 and 5959

1. What is the LCM of 5952 and 5959?

Answer: LCM of 5952 and 5959 is 35467968.

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 5959?

Answer: Factors of 5959 are 1, 59, 101, 5959. There are 4 integers that are factors of 5959. The greatest factor of 5959 is 5959.

4. How to Find the LCM of 5952 and 5959?

Answer:

Least Common Multiple of 5952 and 5959 = 35467968

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 5959

5959 = 59 x 101

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

LCM = 35467968 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 x 59 x 101

Step 4: Therefore, the least common multiple of 5952 and 5959 is 35467968.