Least Common Multiple of 1950 and 1954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1950 and 1954 the smallest integer that is 1905150 that is divisible by both numbers.

Least Common Multiple (LCM) of 1950 and 1954 is 1905150.

LCM(1950,1954) = 1905150

LCM of 1950 and 1954

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

LCM of:
and

Least Common Multiple of 1950 and 1954

LCM of 1950 and 1954 is 1905150

Least common multiple can be found by multiplying the highest exponent prime factors of 1950 and 1954. First we will calculate the prime factors of 1950 and 1954.

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

Prime Factorization of 1954


2 1954
977 977
1

Prime factors of 1954 are 2,977. Prime factorization of 1954 in exponential form is:

1954 = 21×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 1950 and 1954.

LCM(1950,1954) = 21×31×52×131×9771
LCM(1950,1954) = 1905150

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

Factors of 1954

List of positive integer factors of 1954 that divides 1954 without a remainder.

1, 2, 977, 1954

Least Common Multiple of 1950 and 1954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1950 and 1954, than apply into the LCM equation.

GCF(1950,1954) = 2
LCM(1950,1954) = ( 1950 × 1954) / 2
LCM(1950,1954) = 3810300 / 2
LCM(1950,1954) = 1905150

Properties of LCM 1950 and 1954

(i) The LCM of 1954 and 1950 is associative

LCM of 1950 and 1954 = LCM of 1954 and 1950

Related Least Common Multiples of 1950

Related Least Common Multiples of 1954

Frequently Asked Questions on LCM of 1950 and 1954

1. What is the LCM of 1950 and 1954?

Answer: LCM of 1950 and 1954 is 1905150.

2. 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.

3. What are the Factors of 1954?

Answer: Factors of 1954 are 1, 2, 977, 1954. There are 4 integers that are factors of 1954. The greatest factor of 1954 is 1954.

4. How to Find the LCM of 1950 and 1954?

Answer:

Least Common Multiple of 1950 and 1954 = 1905150

Step 1: Find the prime factorization of 1950

1950 = 2 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 1954

1954 = 2 x 977

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

LCM = 1905150 = 2 x 3 x 5 x 5 x 13 x 977

Step 4: Therefore, the least common multiple of 1950 and 1954 is 1905150.