Least Common Multiple of 1952 and 1956

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 1956 the smallest integer that is 954528 that is divisible by both numbers.

Least Common Multiple (LCM) of 1952 and 1956 is 954528.

LCM(1952,1956) = 954528

LCM of 1952 and 1956

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

LCM of:
and

Least Common Multiple of 1952 and 1956

LCM of 1952 and 1956 is 954528

Least common multiple can be found by multiplying the highest exponent prime factors of 1952 and 1956. First we will calculate the prime factors of 1952 and 1956.

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 1956


2 1956
2 978
3 489
163 163
1

Prime factors of 1956 are 2, 3,163. Prime factorization of 1956 in exponential form is:

1956 = 22×31×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1952 and 1956.

LCM(1952,1956) = 25×31×611×1631
LCM(1952,1956) = 954528

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 1956

List of positive integer factors of 1956 that divides 1956 without a remainder.

1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956

Least Common Multiple of 1952 and 1956 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 1956, than apply into the LCM equation.

GCF(1952,1956) = 4
LCM(1952,1956) = ( 1952 × 1956) / 4
LCM(1952,1956) = 3818112 / 4
LCM(1952,1956) = 954528

Properties of LCM 1952 and 1956

(i) The LCM of 1956 and 1952 is associative

LCM of 1952 and 1956 = LCM of 1956 and 1952

Related Least Common Multiples of 1952

Related Least Common Multiples of 1956

Frequently Asked Questions on LCM of 1952 and 1956

1. What is the LCM of 1952 and 1956?

Answer: LCM of 1952 and 1956 is 954528.

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 1956?

Answer: Factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956. There are 12 integers that are factors of 1956. The greatest factor of 1956 is 1956.

4. How to Find the LCM of 1952 and 1956?

Answer:

Least Common Multiple of 1952 and 1956 = 954528

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 1956

1956 = 2 x 2 x 3 x 163

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

LCM = 954528 = 2 x 2 x 2 x 2 x 2 x 3 x 61 x 163

Step 4: Therefore, the least common multiple of 1952 and 1956 is 954528.