Least Common Multiple of 964 and 967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 964 and 967 the smallest integer that is 932188 that is divisible by both numbers.

Least Common Multiple (LCM) of 964 and 967 is 932188.

LCM(964,967) = 932188

LCM of 964 and 967

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

LCM of:
and

Least Common Multiple of 964 and 967

LCM of 964 and 967 is 932188

Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 967. First we will calculate the prime factors of 964 and 967.

Prime Factorization of 964


2 964
2 482
241 241
1

Prime factors of 964 are 2,241. Prime factorization of 964 in exponential form is:

964 = 22×2411

Prime Factorization of 967


967 967
1

Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:

967 = 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 964 and 967.

LCM(964,967) = 22×2411×9671
LCM(964,967) = 932188

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1, 967

Least Common Multiple of 964 and 967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 964 and 967, than apply into the LCM equation.

GCF(964,967) = 1
LCM(964,967) = ( 964 × 967) / 1
LCM(964,967) = 932188 / 1
LCM(964,967) = 932188

Properties of LCM 964 and 967

(i) The LCM of 967 and 964 is associative

LCM of 964 and 967 = LCM of 967 and 964

Related Least Common Multiples of 964

Related Least Common Multiples of 967

Frequently Asked Questions on LCM of 964 and 967

1. What is the LCM of 964 and 967?

Answer: LCM of 964 and 967 is 932188.

2. What are the Factors of 964?

Answer: Factors of 964 are 1, 2, 4, 241, 482, 964. There are 6 integers that are factors of 964. The greatest factor of 964 is 964.

3. What are the Factors of 967?

Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.

4. How to Find the LCM of 964 and 967?

Answer:

Least Common Multiple of 964 and 967 = 932188

Step 1: Find the prime factorization of 964

964 = 2 x 2 x 241

Step 2: Find the prime factorization of 967

967 = 967

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

LCM = 932188 = 2 x 2 x 241 x 967

Step 4: Therefore, the least common multiple of 964 and 967 is 932188.