Least Common Multiple of 1964 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 1964 and 1968 the smallest integer that is 966288 that is divisible by both numbers.

Least Common Multiple (LCM) of 1964 and 1968 is 966288.

LCM(1964,1968) = 966288

LCM of 1964 and 1968

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

LCM of:
and

Least Common Multiple of 1964 and 1968

LCM of 1964 and 1968 is 966288

Least common multiple can be found by multiplying the highest exponent prime factors of 1964 and 1968. First we will calculate the prime factors of 1964 and 1968.

Prime Factorization of 1964


2 1964
2 982
491 491
1

Prime factors of 1964 are 2,491. Prime factorization of 1964 in exponential form is:

1964 = 22×4911

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 1964 and 1968.

LCM(1964,1968) = 24×31×411×4911
LCM(1964,1968) = 966288

Factors of 1964

List of positive integer factors of 1964 that divides 1964 without a remainder.

1, 2, 4, 491, 982, 1964

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 1964 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 1964 and 1968, than apply into the LCM equation.

GCF(1964,1968) = 4
LCM(1964,1968) = ( 1964 × 1968) / 4
LCM(1964,1968) = 3865152 / 4
LCM(1964,1968) = 966288

Properties of LCM 1964 and 1968

(i) The LCM of 1968 and 1964 is associative

LCM of 1964 and 1968 = LCM of 1968 and 1964

Related Least Common Multiples of 1964

Related Least Common Multiples of 1968

Frequently Asked Questions on LCM of 1964 and 1968

1. What is the LCM of 1964 and 1968?

Answer: LCM of 1964 and 1968 is 966288.

2. What are the Factors of 1964?

Answer: Factors of 1964 are 1, 2, 4, 491, 982, 1964. There are 6 integers that are factors of 1964. The greatest factor of 1964 is 1964.

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 1964 and 1968?

Answer:

Least Common Multiple of 1964 and 1968 = 966288

Step 1: Find the prime factorization of 1964

1964 = 2 x 2 x 491

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 = 966288 = 2 x 2 x 2 x 2 x 3 x 41 x 491

Step 4: Therefore, the least common multiple of 1964 and 1968 is 966288.