Least Common Multiple of 1946 and 1952

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 1952 the smallest integer that is 1899296 that is divisible by both numbers.

Least Common Multiple (LCM) of 1946 and 1952 is 1899296.

LCM(1946,1952) = 1899296

LCM of 1946 and 1952

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

LCM of:
and

Least Common Multiple of 1946 and 1952

LCM of 1946 and 1952 is 1899296

Least common multiple can be found by multiplying the highest exponent prime factors of 1946 and 1952. First we will calculate the prime factors of 1946 and 1952.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1946 and 1952.

LCM(1946,1952) = 25×71×611×1391
LCM(1946,1952) = 1899296

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 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

Least Common Multiple of 1946 and 1952 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 1952, than apply into the LCM equation.

GCF(1946,1952) = 2
LCM(1946,1952) = ( 1946 × 1952) / 2
LCM(1946,1952) = 3798592 / 2
LCM(1946,1952) = 1899296

Properties of LCM 1946 and 1952

(i) The LCM of 1952 and 1946 is associative

LCM of 1946 and 1952 = LCM of 1952 and 1946

Related Least Common Multiples of 1946

Related Least Common Multiples of 1952

Frequently Asked Questions on LCM of 1946 and 1952

1. What is the LCM of 1946 and 1952?

Answer: LCM of 1946 and 1952 is 1899296.

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 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.

4. How to Find the LCM of 1946 and 1952?

Answer:

Least Common Multiple of 1946 and 1952 = 1899296

Step 1: Find the prime factorization of 1946

1946 = 2 x 7 x 139

Step 2: Find the prime factorization of 1952

1952 = 2 x 2 x 2 x 2 x 2 x 61

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

LCM = 1899296 = 2 x 2 x 2 x 2 x 2 x 7 x 61 x 139

Step 4: Therefore, the least common multiple of 1946 and 1952 is 1899296.