Least Common Multiple of 1961 and 1965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1961 and 1965 the smallest integer that is 3853365 that is divisible by both numbers.

Least Common Multiple (LCM) of 1961 and 1965 is 3853365.

LCM(1961,1965) = 3853365

LCM of 1961 and 1965

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

LCM of:
and

Least Common Multiple of 1961 and 1965

LCM of 1961 and 1965 is 3853365

Least common multiple can be found by multiplying the highest exponent prime factors of 1961 and 1965. First we will calculate the prime factors of 1961 and 1965.

Prime Factorization of 1961


37 1961
53 53
1

Prime factors of 1961 are 37,53. Prime factorization of 1961 in exponential form is:

1961 = 371×531

Prime Factorization of 1965


3 1965
5 655
131 131
1

Prime factors of 1965 are 3, 5,131. Prime factorization of 1965 in exponential form is:

1965 = 31×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1961 and 1965.

LCM(1961,1965) = 31×51×371×531×1311
LCM(1961,1965) = 3853365

Factors of 1961

List of positive integer factors of 1961 that divides 1961 without a remainder.

1, 37, 53, 1961

Factors of 1965

List of positive integer factors of 1965 that divides 1965 without a remainder.

1, 3, 5, 15, 131, 393, 655, 1965

Least Common Multiple of 1961 and 1965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1961 and 1965, than apply into the LCM equation.

GCF(1961,1965) = 1
LCM(1961,1965) = ( 1961 × 1965) / 1
LCM(1961,1965) = 3853365 / 1
LCM(1961,1965) = 3853365

Properties of LCM 1961 and 1965

(i) The LCM of 1965 and 1961 is associative

LCM of 1961 and 1965 = LCM of 1965 and 1961

Related Least Common Multiples of 1961

Related Least Common Multiples of 1965

Frequently Asked Questions on LCM of 1961 and 1965

1. What is the LCM of 1961 and 1965?

Answer: LCM of 1961 and 1965 is 3853365.

2. What are the Factors of 1961?

Answer: Factors of 1961 are 1, 37, 53, 1961. There are 4 integers that are factors of 1961. The greatest factor of 1961 is 1961.

3. What are the Factors of 1965?

Answer: Factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965. There are 8 integers that are factors of 1965. The greatest factor of 1965 is 1965.

4. How to Find the LCM of 1961 and 1965?

Answer:

Least Common Multiple of 1961 and 1965 = 3853365

Step 1: Find the prime factorization of 1961

1961 = 37 x 53

Step 2: Find the prime factorization of 1965

1965 = 3 x 5 x 131

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

LCM = 3853365 = 3 x 5 x 37 x 53 x 131

Step 4: Therefore, the least common multiple of 1961 and 1965 is 3853365.