Least Common Multiple of 1952 and 1959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1952 and 1959 the smallest integer that is 3823968 that is divisible by both numbers.

Least Common Multiple (LCM) of 1952 and 1959 is 3823968.

LCM(1952,1959) = 3823968

LCM of 1952 and 1959

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

LCM of:
and

Least Common Multiple of 1952 and 1959

LCM of 1952 and 1959 is 3823968

Least common multiple can be found by multiplying the highest exponent prime factors of 1952 and 1959. First we will calculate the prime factors of 1952 and 1959.

Prime Factorization of 1952


2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 1952 are 2,61. Prime factorization of 1952 in exponential form is:

1952 = 25×611

Prime Factorization of 1959


3 1959
653 653
1

Prime factors of 1959 are 3,653. Prime factorization of 1959 in exponential form is:

1959 = 31×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 1952 and 1959.

LCM(1952,1959) = 25×31×611×6531
LCM(1952,1959) = 3823968

Factors of 1952

List of positive integer factors of 1952 that divides 1952 without a remainder.

1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952

Factors of 1959

List of positive integer factors of 1959 that divides 1959 without a remainder.

1, 3, 653, 1959

Least Common Multiple of 1952 and 1959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1952 and 1959, than apply into the LCM equation.

GCF(1952,1959) = 1
LCM(1952,1959) = ( 1952 × 1959) / 1
LCM(1952,1959) = 3823968 / 1
LCM(1952,1959) = 3823968

Properties of LCM 1952 and 1959

(i) The LCM of 1959 and 1952 is associative

LCM of 1952 and 1959 = LCM of 1959 and 1952

Related Least Common Multiples of 1952

Related Least Common Multiples of 1959

Frequently Asked Questions on LCM of 1952 and 1959

1. What is the LCM of 1952 and 1959?

Answer: LCM of 1952 and 1959 is 3823968.

2. What are the Factors of 1952?

Answer: Factors of 1952 are 1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952. There are 12 integers that are factors of 1952. The greatest factor of 1952 is 1952.

3. What are the Factors of 1959?

Answer: Factors of 1959 are 1, 3, 653, 1959. There are 4 integers that are factors of 1959. The greatest factor of 1959 is 1959.

4. How to Find the LCM of 1952 and 1959?

Answer:

Least Common Multiple of 1952 and 1959 = 3823968

Step 1: Find the prime factorization of 1952

1952 = 2 x 2 x 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 1959

1959 = 3 x 653

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

LCM = 3823968 = 2 x 2 x 2 x 2 x 2 x 3 x 61 x 653

Step 4: Therefore, the least common multiple of 1952 and 1959 is 3823968.