Least Common Multiple of 1947 and 1953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1947 and 1953 the smallest integer that is 1267497 that is divisible by both numbers.

Least Common Multiple (LCM) of 1947 and 1953 is 1267497.

LCM(1947,1953) = 1267497

LCM of 1947 and 1953

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

LCM of:
and

Least Common Multiple of 1947 and 1953

LCM of 1947 and 1953 is 1267497

Least common multiple can be found by multiplying the highest exponent prime factors of 1947 and 1953. First we will calculate the prime factors of 1947 and 1953.

Prime Factorization of 1947


3 1947
11 649
59 59
1

Prime factors of 1947 are 3, 11,59. Prime factorization of 1947 in exponential form is:

1947 = 31×111×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1947 and 1953.

LCM(1947,1953) = 32×71×111×311×591
LCM(1947,1953) = 1267497

Factors of 1947

List of positive integer factors of 1947 that divides 1947 without a remainder.

1, 3, 11, 33, 59, 177, 649, 1947

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

Least Common Multiple of 1947 and 1953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1947 and 1953, than apply into the LCM equation.

GCF(1947,1953) = 3
LCM(1947,1953) = ( 1947 × 1953) / 3
LCM(1947,1953) = 3802491 / 3
LCM(1947,1953) = 1267497

Properties of LCM 1947 and 1953

(i) The LCM of 1953 and 1947 is associative

LCM of 1947 and 1953 = LCM of 1953 and 1947

Related Least Common Multiples of 1947

Related Least Common Multiples of 1953

Frequently Asked Questions on LCM of 1947 and 1953

1. What is the LCM of 1947 and 1953?

Answer: LCM of 1947 and 1953 is 1267497.

2. What are the Factors of 1947?

Answer: Factors of 1947 are 1, 3, 11, 33, 59, 177, 649, 1947. There are 8 integers that are factors of 1947. The greatest factor of 1947 is 1947.

3. 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.

4. How to Find the LCM of 1947 and 1953?

Answer:

Least Common Multiple of 1947 and 1953 = 1267497

Step 1: Find the prime factorization of 1947

1947 = 3 x 11 x 59

Step 2: Find the prime factorization of 1953

1953 = 3 x 3 x 7 x 31

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

LCM = 1267497 = 3 x 3 x 7 x 11 x 31 x 59

Step 4: Therefore, the least common multiple of 1947 and 1953 is 1267497.