Least Common Multiple of 1942 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 1942 and 1950 the smallest integer that is 1893450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1942 and 1950 is 1893450.

LCM(1942,1950) = 1893450

LCM of 1942 and 1950

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

LCM of:
and

Least Common Multiple of 1942 and 1950

LCM of 1942 and 1950 is 1893450

Least common multiple can be found by multiplying the highest exponent prime factors of 1942 and 1950. First we will calculate the prime factors of 1942 and 1950.

Prime Factorization of 1942


2 1942
971 971
1

Prime factors of 1942 are 2,971. Prime factorization of 1942 in exponential form is:

1942 = 21×9711

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 1942 and 1950.

LCM(1942,1950) = 21×31×52×131×9711
LCM(1942,1950) = 1893450

Factors of 1942

List of positive integer factors of 1942 that divides 1942 without a remainder.

1, 2, 971, 1942

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 1942 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 1942 and 1950, than apply into the LCM equation.

GCF(1942,1950) = 2
LCM(1942,1950) = ( 1942 × 1950) / 2
LCM(1942,1950) = 3786900 / 2
LCM(1942,1950) = 1893450

Properties of LCM 1942 and 1950

(i) The LCM of 1950 and 1942 is associative

LCM of 1942 and 1950 = LCM of 1950 and 1942

Related Least Common Multiples of 1942

Related Least Common Multiples of 1950

Frequently Asked Questions on LCM of 1942 and 1950

1. What is the LCM of 1942 and 1950?

Answer: LCM of 1942 and 1950 is 1893450.

2. What are the Factors of 1942?

Answer: Factors of 1942 are 1, 2, 971, 1942. There are 4 integers that are factors of 1942. The greatest factor of 1942 is 1942.

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 1942 and 1950?

Answer:

Least Common Multiple of 1942 and 1950 = 1893450

Step 1: Find the prime factorization of 1942

1942 = 2 x 971

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 = 1893450 = 2 x 3 x 5 x 5 x 13 x 971

Step 4: Therefore, the least common multiple of 1942 and 1950 is 1893450.