Least Common Multiple of 962 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 962 and 970 the smallest integer that is 466570 that is divisible by both numbers.

Least Common Multiple (LCM) of 962 and 970 is 466570.

LCM(962,970) = 466570

LCM of 962 and 970

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

LCM of:
and

Least Common Multiple of 962 and 970

LCM of 962 and 970 is 466570

Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 970. First we will calculate the prime factors of 962 and 970.

Prime Factorization of 962


2 962
13 481
37 37
1

Prime factors of 962 are 2, 13,37. Prime factorization of 962 in exponential form is:

962 = 21×131×371

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 962 and 970.

LCM(962,970) = 21×51×131×371×971
LCM(962,970) = 466570

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

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 962 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 962 and 970, than apply into the LCM equation.

GCF(962,970) = 2
LCM(962,970) = ( 962 × 970) / 2
LCM(962,970) = 933140 / 2
LCM(962,970) = 466570

Properties of LCM 962 and 970

(i) The LCM of 970 and 962 is associative

LCM of 962 and 970 = LCM of 970 and 962

Related Least Common Multiples of 962

Related Least Common Multiples of 970

Frequently Asked Questions on LCM of 962 and 970

1. What is the LCM of 962 and 970?

Answer: LCM of 962 and 970 is 466570.

2. What are the Factors of 962?

Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.

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 962 and 970?

Answer:

Least Common Multiple of 962 and 970 = 466570

Step 1: Find the prime factorization of 962

962 = 2 x 13 x 37

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 = 466570 = 2 x 5 x 13 x 37 x 97

Step 4: Therefore, the least common multiple of 962 and 970 is 466570.