Least Common Multiple of 1959 and 1961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1959 and 1961 the smallest integer that is 3841599 that is divisible by both numbers.

Least Common Multiple (LCM) of 1959 and 1961 is 3841599.

LCM(1959,1961) = 3841599

LCM of 1959 and 1961

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

LCM of:
and

Least Common Multiple of 1959 and 1961

LCM of 1959 and 1961 is 3841599

Least common multiple can be found by multiplying the highest exponent prime factors of 1959 and 1961. First we will calculate the prime factors of 1959 and 1961.

Prime Factorization of 1959


3 1959
653 653
1

Prime factors of 1959 are 3,653. Prime factorization of 1959 in exponential form is:

1959 = 31×6531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1959 and 1961.

LCM(1959,1961) = 31×371×531×6531
LCM(1959,1961) = 3841599

Factors of 1959

List of positive integer factors of 1959 that divides 1959 without a remainder.

1, 3, 653, 1959

Factors of 1961

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

1, 37, 53, 1961

Least Common Multiple of 1959 and 1961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1959 and 1961, than apply into the LCM equation.

GCF(1959,1961) = 1
LCM(1959,1961) = ( 1959 × 1961) / 1
LCM(1959,1961) = 3841599 / 1
LCM(1959,1961) = 3841599

Properties of LCM 1959 and 1961

(i) The LCM of 1961 and 1959 is associative

LCM of 1959 and 1961 = LCM of 1961 and 1959

Related Least Common Multiples of 1959

Related Least Common Multiples of 1961

Frequently Asked Questions on LCM of 1959 and 1961

1. What is the LCM of 1959 and 1961?

Answer: LCM of 1959 and 1961 is 3841599.

2. What are the Factors of 1959?

Answer: Factors of 1959 are 1, 3, 653, 1959. There are 4 integers that are factors of 1959. The greatest factor of 1959 is 1959.

3. 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.

4. How to Find the LCM of 1959 and 1961?

Answer:

Least Common Multiple of 1959 and 1961 = 3841599

Step 1: Find the prime factorization of 1959

1959 = 3 x 653

Step 2: Find the prime factorization of 1961

1961 = 37 x 53

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

LCM = 3841599 = 3 x 37 x 53 x 653

Step 4: Therefore, the least common multiple of 1959 and 1961 is 3841599.