Least Common Multiple of 1961 and 1968

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 1968 the smallest integer that is 3859248 that is divisible by both numbers.

Least Common Multiple (LCM) of 1961 and 1968 is 3859248.

LCM(1961,1968) = 3859248

LCM of 1961 and 1968

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

LCM of:
and

Least Common Multiple of 1961 and 1968

LCM of 1961 and 1968 is 3859248

Least common multiple can be found by multiplying the highest exponent prime factors of 1961 and 1968. First we will calculate the prime factors of 1961 and 1968.

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 1968


2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 1968 are 2, 3,41. Prime factorization of 1968 in exponential form is:

1968 = 24×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1961 and 1968.

LCM(1961,1968) = 24×31×371×411×531
LCM(1961,1968) = 3859248

Factors of 1961

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

1, 37, 53, 1961

Factors of 1968

List of positive integer factors of 1968 that divides 1968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968

Least Common Multiple of 1961 and 1968 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 1968, than apply into the LCM equation.

GCF(1961,1968) = 1
LCM(1961,1968) = ( 1961 × 1968) / 1
LCM(1961,1968) = 3859248 / 1
LCM(1961,1968) = 3859248

Properties of LCM 1961 and 1968

(i) The LCM of 1968 and 1961 is associative

LCM of 1961 and 1968 = LCM of 1968 and 1961

Related Least Common Multiples of 1961

Related Least Common Multiples of 1968

Frequently Asked Questions on LCM of 1961 and 1968

1. What is the LCM of 1961 and 1968?

Answer: LCM of 1961 and 1968 is 3859248.

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 1968?

Answer: Factors of 1968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968. There are 20 integers that are factors of 1968. The greatest factor of 1968 is 1968.

4. How to Find the LCM of 1961 and 1968?

Answer:

Least Common Multiple of 1961 and 1968 = 3859248

Step 1: Find the prime factorization of 1961

1961 = 37 x 53

Step 2: Find the prime factorization of 1968

1968 = 2 x 2 x 2 x 2 x 3 x 41

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

LCM = 3859248 = 2 x 2 x 2 x 2 x 3 x 37 x 41 x 53

Step 4: Therefore, the least common multiple of 1961 and 1968 is 3859248.