Least Common Multiple of 1950 and 1951

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 1951 the smallest integer that is 3804450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1950 and 1951 is 3804450.

LCM(1950,1951) = 3804450

LCM of 1950 and 1951

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

LCM of:
and

Least Common Multiple of 1950 and 1951

LCM of 1950 and 1951 is 3804450

Least common multiple can be found by multiplying the highest exponent prime factors of 1950 and 1951. First we will calculate the prime factors of 1950 and 1951.

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 1951


1951 1951
1

Prime factors of 1951 are 1951. Prime factorization of 1951 in exponential form is:

1951 = 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 1950 and 1951.

LCM(1950,1951) = 21×31×52×131×19511
LCM(1950,1951) = 3804450

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 1951

List of positive integer factors of 1951 that divides 1951 without a remainder.

1, 1951

Least Common Multiple of 1950 and 1951 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 1951, than apply into the LCM equation.

GCF(1950,1951) = 1
LCM(1950,1951) = ( 1950 × 1951) / 1
LCM(1950,1951) = 3804450 / 1
LCM(1950,1951) = 3804450

Properties of LCM 1950 and 1951

(i) The LCM of 1951 and 1950 is associative

LCM of 1950 and 1951 = LCM of 1951 and 1950

Related Least Common Multiples of 1950

Related Least Common Multiples of 1951

Frequently Asked Questions on LCM of 1950 and 1951

1. What is the LCM of 1950 and 1951?

Answer: LCM of 1950 and 1951 is 3804450.

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 1951?

Answer: Factors of 1951 are 1, 1951. There are 2 integers that are factors of 1951. The greatest factor of 1951 is 1951.

4. How to Find the LCM of 1950 and 1951?

Answer:

Least Common Multiple of 1950 and 1951 = 3804450

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 1951

1951 = 1951

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

LCM = 3804450 = 2 x 3 x 5 x 5 x 13 x 1951

Step 4: Therefore, the least common multiple of 1950 and 1951 is 3804450.