Least Common Multiple of 1964 and 1971

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 1971 the smallest integer that is 3871044 that is divisible by both numbers.

Least Common Multiple (LCM) of 1964 and 1971 is 3871044.

LCM(1964,1971) = 3871044

LCM of 1964 and 1971

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

LCM of:
and

Least Common Multiple of 1964 and 1971

LCM of 1964 and 1971 is 3871044

Least common multiple can be found by multiplying the highest exponent prime factors of 1964 and 1971. First we will calculate the prime factors of 1964 and 1971.

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 1971


3 1971
3 657
3 219
73 73
1

Prime factors of 1971 are 3,73. Prime factorization of 1971 in exponential form is:

1971 = 33×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1964 and 1971.

LCM(1964,1971) = 22×33×731×4911
LCM(1964,1971) = 3871044

Factors of 1964

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

1, 2, 4, 491, 982, 1964

Factors of 1971

List of positive integer factors of 1971 that divides 1971 without a remainder.

1, 3, 9, 27, 73, 219, 657, 1971

Least Common Multiple of 1964 and 1971 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 1971, than apply into the LCM equation.

GCF(1964,1971) = 1
LCM(1964,1971) = ( 1964 × 1971) / 1
LCM(1964,1971) = 3871044 / 1
LCM(1964,1971) = 3871044

Properties of LCM 1964 and 1971

(i) The LCM of 1971 and 1964 is associative

LCM of 1964 and 1971 = LCM of 1971 and 1964

Related Least Common Multiples of 1964

Related Least Common Multiples of 1971

Frequently Asked Questions on LCM of 1964 and 1971

1. What is the LCM of 1964 and 1971?

Answer: LCM of 1964 and 1971 is 3871044.

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 1971?

Answer: Factors of 1971 are 1, 3, 9, 27, 73, 219, 657, 1971. There are 8 integers that are factors of 1971. The greatest factor of 1971 is 1971.

4. How to Find the LCM of 1964 and 1971?

Answer:

Least Common Multiple of 1964 and 1971 = 3871044

Step 1: Find the prime factorization of 1964

1964 = 2 x 2 x 491

Step 2: Find the prime factorization of 1971

1971 = 3 x 3 x 3 x 73

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

LCM = 3871044 = 2 x 2 x 3 x 3 x 3 x 73 x 491

Step 4: Therefore, the least common multiple of 1964 and 1971 is 3871044.