Least Common Multiple of 1953 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 1953 and 1959 the smallest integer that is 1275309 that is divisible by both numbers.

Least Common Multiple (LCM) of 1953 and 1959 is 1275309.

LCM(1953,1959) = 1275309

LCM of 1953 and 1959

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

LCM of:
and

Least Common Multiple of 1953 and 1959

LCM of 1953 and 1959 is 1275309

Least common multiple can be found by multiplying the highest exponent prime factors of 1953 and 1959. First we will calculate the prime factors of 1953 and 1959.

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 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 1953 and 1959.

LCM(1953,1959) = 32×71×311×6531
LCM(1953,1959) = 1275309

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 1959

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

1, 3, 653, 1959

Least Common Multiple of 1953 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 1953 and 1959, than apply into the LCM equation.

GCF(1953,1959) = 3
LCM(1953,1959) = ( 1953 × 1959) / 3
LCM(1953,1959) = 3825927 / 3
LCM(1953,1959) = 1275309

Properties of LCM 1953 and 1959

(i) The LCM of 1959 and 1953 is associative

LCM of 1953 and 1959 = LCM of 1959 and 1953

Related Least Common Multiples of 1953

Related Least Common Multiples of 1959

Frequently Asked Questions on LCM of 1953 and 1959

1. What is the LCM of 1953 and 1959?

Answer: LCM of 1953 and 1959 is 1275309.

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 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 1953 and 1959?

Answer:

Least Common Multiple of 1953 and 1959 = 1275309

Step 1: Find the prime factorization of 1953

1953 = 3 x 3 x 7 x 31

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 = 1275309 = 3 x 3 x 7 x 31 x 653

Step 4: Therefore, the least common multiple of 1953 and 1959 is 1275309.