Least Common Multiple of 1952 and 1957

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 1957 the smallest integer that is 3820064 that is divisible by both numbers.

Least Common Multiple (LCM) of 1952 and 1957 is 3820064.

LCM(1952,1957) = 3820064

LCM of 1952 and 1957

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

LCM of:
and

Least Common Multiple of 1952 and 1957

LCM of 1952 and 1957 is 3820064

Least common multiple can be found by multiplying the highest exponent prime factors of 1952 and 1957. First we will calculate the prime factors of 1952 and 1957.

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 1957


19 1957
103 103
1

Prime factors of 1957 are 19,103. Prime factorization of 1957 in exponential form is:

1957 = 191×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1952 and 1957.

LCM(1952,1957) = 25×191×611×1031
LCM(1952,1957) = 3820064

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 1957

List of positive integer factors of 1957 that divides 1957 without a remainder.

1, 19, 103, 1957

Least Common Multiple of 1952 and 1957 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 1957, than apply into the LCM equation.

GCF(1952,1957) = 1
LCM(1952,1957) = ( 1952 × 1957) / 1
LCM(1952,1957) = 3820064 / 1
LCM(1952,1957) = 3820064

Properties of LCM 1952 and 1957

(i) The LCM of 1957 and 1952 is associative

LCM of 1952 and 1957 = LCM of 1957 and 1952

Related Least Common Multiples of 1952

Related Least Common Multiples of 1957

Frequently Asked Questions on LCM of 1952 and 1957

1. What is the LCM of 1952 and 1957?

Answer: LCM of 1952 and 1957 is 3820064.

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 1957?

Answer: Factors of 1957 are 1, 19, 103, 1957. There are 4 integers that are factors of 1957. The greatest factor of 1957 is 1957.

4. How to Find the LCM of 1952 and 1957?

Answer:

Least Common Multiple of 1952 and 1957 = 3820064

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 1957

1957 = 19 x 103

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

LCM = 3820064 = 2 x 2 x 2 x 2 x 2 x 19 x 61 x 103

Step 4: Therefore, the least common multiple of 1952 and 1957 is 3820064.