Least Common Multiple of 964 and 970

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 970 the smallest integer that is 467540 that is divisible by both numbers.

Least Common Multiple (LCM) of 964 and 970 is 467540.

LCM(964,970) = 467540

LCM of 964 and 970

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

LCM of:
and

Least Common Multiple of 964 and 970

LCM of 964 and 970 is 467540

Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 970. First we will calculate the prime factors of 964 and 970.

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 970


2 970
5 485
97 97
1

Prime factors of 970 are 2, 5,97. Prime factorization of 970 in exponential form is:

970 = 21×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 964 and 970.

LCM(964,970) = 22×51×971×2411
LCM(964,970) = 467540

Factors of 964

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

1, 2, 4, 241, 482, 964

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Least Common Multiple of 964 and 970 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 970, than apply into the LCM equation.

GCF(964,970) = 2
LCM(964,970) = ( 964 × 970) / 2
LCM(964,970) = 935080 / 2
LCM(964,970) = 467540

Properties of LCM 964 and 970

(i) The LCM of 970 and 964 is associative

LCM of 964 and 970 = LCM of 970 and 964

Related Least Common Multiples of 964

Related Least Common Multiples of 970

Frequently Asked Questions on LCM of 964 and 970

1. What is the LCM of 964 and 970?

Answer: LCM of 964 and 970 is 467540.

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 970?

Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.

4. How to Find the LCM of 964 and 970?

Answer:

Least Common Multiple of 964 and 970 = 467540

Step 1: Find the prime factorization of 964

964 = 2 x 2 x 241

Step 2: Find the prime factorization of 970

970 = 2 x 5 x 97

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

LCM = 467540 = 2 x 2 x 5 x 97 x 241

Step 4: Therefore, the least common multiple of 964 and 970 is 467540.