Least Common Multiple of 963 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 963 and 970 the smallest integer that is 934110 that is divisible by both numbers.

Least Common Multiple (LCM) of 963 and 970 is 934110.

LCM(963,970) = 934110

LCM of 963 and 970

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

LCM of:
and

Least Common Multiple of 963 and 970

LCM of 963 and 970 is 934110

Least common multiple can be found by multiplying the highest exponent prime factors of 963 and 970. First we will calculate the prime factors of 963 and 970.

Prime Factorization of 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

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 963 and 970.

LCM(963,970) = 21×32×51×971×1071
LCM(963,970) = 934110

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

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 963 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 963 and 970, than apply into the LCM equation.

GCF(963,970) = 1
LCM(963,970) = ( 963 × 970) / 1
LCM(963,970) = 934110 / 1
LCM(963,970) = 934110

Properties of LCM 963 and 970

(i) The LCM of 970 and 963 is associative

LCM of 963 and 970 = LCM of 970 and 963

Related Least Common Multiples of 963

Related Least Common Multiples of 970

Frequently Asked Questions on LCM of 963 and 970

1. What is the LCM of 963 and 970?

Answer: LCM of 963 and 970 is 934110.

2. What are the Factors of 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

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 963 and 970?

Answer:

Least Common Multiple of 963 and 970 = 934110

Step 1: Find the prime factorization of 963

963 = 3 x 3 x 107

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 = 934110 = 2 x 3 x 3 x 5 x 97 x 107

Step 4: Therefore, the least common multiple of 963 and 970 is 934110.