Least Common Multiple of 1946 and 1950

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 1950 the smallest integer that is 1897350 that is divisible by both numbers.

Least Common Multiple (LCM) of 1946 and 1950 is 1897350.

LCM(1946,1950) = 1897350

LCM of 1946 and 1950

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

LCM of:
and

Least Common Multiple of 1946 and 1950

LCM of 1946 and 1950 is 1897350

Least common multiple can be found by multiplying the highest exponent prime factors of 1946 and 1950. First we will calculate the prime factors of 1946 and 1950.

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 1950


2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 1950 are 2, 3, 5,13. Prime factorization of 1950 in exponential form is:

1950 = 21×31×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1946 and 1950.

LCM(1946,1950) = 21×31×52×71×131×1391
LCM(1946,1950) = 1897350

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 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950

Least Common Multiple of 1946 and 1950 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 1950, than apply into the LCM equation.

GCF(1946,1950) = 2
LCM(1946,1950) = ( 1946 × 1950) / 2
LCM(1946,1950) = 3794700 / 2
LCM(1946,1950) = 1897350

Properties of LCM 1946 and 1950

(i) The LCM of 1950 and 1946 is associative

LCM of 1946 and 1950 = LCM of 1950 and 1946

Related Least Common Multiples of 1946

Related Least Common Multiples of 1950

Frequently Asked Questions on LCM of 1946 and 1950

1. What is the LCM of 1946 and 1950?

Answer: LCM of 1946 and 1950 is 1897350.

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 1950?

Answer: Factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950. There are 24 integers that are factors of 1950. The greatest factor of 1950 is 1950.

4. How to Find the LCM of 1946 and 1950?

Answer:

Least Common Multiple of 1946 and 1950 = 1897350

Step 1: Find the prime factorization of 1946

1946 = 2 x 7 x 139

Step 2: Find the prime factorization of 1950

1950 = 2 x 3 x 5 x 5 x 13

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

LCM = 1897350 = 2 x 3 x 5 x 5 x 7 x 13 x 139

Step 4: Therefore, the least common multiple of 1946 and 1950 is 1897350.