Least Common Multiple of 1946 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 1946 and 1953 the smallest integer that is 542934 that is divisible by both numbers.

Least Common Multiple (LCM) of 1946 and 1953 is 542934.

LCM(1946,1953) = 542934

LCM of 1946 and 1953

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

LCM of:
and

Least Common Multiple of 1946 and 1953

LCM of 1946 and 1953 is 542934

Least common multiple can be found by multiplying the highest exponent prime factors of 1946 and 1953. First we will calculate the prime factors of 1946 and 1953.

Prime Factorization of 1946


2 1946
7 973
139 139
1

Prime factors of 1946 are 2, 7,139. Prime factorization of 1946 in exponential form is:

1946 = 21×71×1391

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 1946 and 1953.

LCM(1946,1953) = 21×32×71×311×1391
LCM(1946,1953) = 542934

Factors of 1946

List of positive integer factors of 1946 that divides 1946 without a remainder.

1, 2, 7, 14, 139, 278, 973, 1946

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 1946 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 1946 and 1953, than apply into the LCM equation.

GCF(1946,1953) = 7
LCM(1946,1953) = ( 1946 × 1953) / 7
LCM(1946,1953) = 3800538 / 7
LCM(1946,1953) = 542934

Properties of LCM 1946 and 1953

(i) The LCM of 1953 and 1946 is associative

LCM of 1946 and 1953 = LCM of 1953 and 1946

Related Least Common Multiples of 1946

Related Least Common Multiples of 1953

Frequently Asked Questions on LCM of 1946 and 1953

1. What is the LCM of 1946 and 1953?

Answer: LCM of 1946 and 1953 is 542934.

2. What are the Factors of 1946?

Answer: Factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946. There are 8 integers that are factors of 1946. The greatest factor of 1946 is 1946.

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 1946 and 1953?

Answer:

Least Common Multiple of 1946 and 1953 = 542934

Step 1: Find the prime factorization of 1946

1946 = 2 x 7 x 139

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 = 542934 = 2 x 3 x 3 x 7 x 31 x 139

Step 4: Therefore, the least common multiple of 1946 and 1953 is 542934.