Least Common Multiple of 1953 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 1953 and 1957 the smallest integer that is 3822021 that is divisible by both numbers.

Least Common Multiple (LCM) of 1953 and 1957 is 3822021.

LCM(1953,1957) = 3822021

LCM of 1953 and 1957

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

LCM of:
and

Least Common Multiple of 1953 and 1957

LCM of 1953 and 1957 is 3822021

Least common multiple can be found by multiplying the highest exponent prime factors of 1953 and 1957. First we will calculate the prime factors of 1953 and 1957.

Prime Factorization of 1953


3 1953
3 651
7 217
31 31
1

Prime factors of 1953 are 3, 7,31. Prime factorization of 1953 in exponential form is:

1953 = 32×71×311

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 1953 and 1957.

LCM(1953,1957) = 32×71×191×311×1031
LCM(1953,1957) = 3822021

Factors of 1953

List of positive integer factors of 1953 that divides 1953 without a remainder.

1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953

Factors of 1957

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

1, 19, 103, 1957

Least Common Multiple of 1953 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 1953 and 1957, than apply into the LCM equation.

GCF(1953,1957) = 1
LCM(1953,1957) = ( 1953 × 1957) / 1
LCM(1953,1957) = 3822021 / 1
LCM(1953,1957) = 3822021

Properties of LCM 1953 and 1957

(i) The LCM of 1957 and 1953 is associative

LCM of 1953 and 1957 = LCM of 1957 and 1953

Related Least Common Multiples of 1953

Related Least Common Multiples of 1957

Frequently Asked Questions on LCM of 1953 and 1957

1. What is the LCM of 1953 and 1957?

Answer: LCM of 1953 and 1957 is 3822021.

2. What are the Factors of 1953?

Answer: Factors of 1953 are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953. There are 12 integers that are factors of 1953. The greatest factor of 1953 is 1953.

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 1953 and 1957?

Answer:

Least Common Multiple of 1953 and 1957 = 3822021

Step 1: Find the prime factorization of 1953

1953 = 3 x 3 x 7 x 31

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 = 3822021 = 3 x 3 x 7 x 19 x 31 x 103

Step 4: Therefore, the least common multiple of 1953 and 1957 is 3822021.