Least Common Multiple of 1952 and 1958

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 1958 the smallest integer that is 1911008 that is divisible by both numbers.

Least Common Multiple (LCM) of 1952 and 1958 is 1911008.

LCM(1952,1958) = 1911008

LCM of 1952 and 1958

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

LCM of:
and

Least Common Multiple of 1952 and 1958

LCM of 1952 and 1958 is 1911008

Least common multiple can be found by multiplying the highest exponent prime factors of 1952 and 1958. First we will calculate the prime factors of 1952 and 1958.

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 1958


2 1958
11 979
89 89
1

Prime factors of 1958 are 2, 11,89. Prime factorization of 1958 in exponential form is:

1958 = 21×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1952 and 1958.

LCM(1952,1958) = 25×111×611×891
LCM(1952,1958) = 1911008

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 1958

List of positive integer factors of 1958 that divides 1958 without a remainder.

1, 2, 11, 22, 89, 178, 979, 1958

Least Common Multiple of 1952 and 1958 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 1958, than apply into the LCM equation.

GCF(1952,1958) = 2
LCM(1952,1958) = ( 1952 × 1958) / 2
LCM(1952,1958) = 3822016 / 2
LCM(1952,1958) = 1911008

Properties of LCM 1952 and 1958

(i) The LCM of 1958 and 1952 is associative

LCM of 1952 and 1958 = LCM of 1958 and 1952

Related Least Common Multiples of 1952

Related Least Common Multiples of 1958

Frequently Asked Questions on LCM of 1952 and 1958

1. What is the LCM of 1952 and 1958?

Answer: LCM of 1952 and 1958 is 1911008.

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 1958?

Answer: Factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958. There are 8 integers that are factors of 1958. The greatest factor of 1958 is 1958.

4. How to Find the LCM of 1952 and 1958?

Answer:

Least Common Multiple of 1952 and 1958 = 1911008

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 1958

1958 = 2 x 11 x 89

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

LCM = 1911008 = 2 x 2 x 2 x 2 x 2 x 11 x 61 x 89

Step 4: Therefore, the least common multiple of 1952 and 1958 is 1911008.