Least Common Multiple of 965 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 965 and 970 the smallest integer that is 187210 that is divisible by both numbers.

Least Common Multiple (LCM) of 965 and 970 is 187210.

LCM(965,970) = 187210

LCM of 965 and 970

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

LCM of:
and

Least Common Multiple of 965 and 970

LCM of 965 and 970 is 187210

Least common multiple can be found by multiplying the highest exponent prime factors of 965 and 970. First we will calculate the prime factors of 965 and 970.

Prime Factorization of 965


5 965
193 193
1

Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:

965 = 51×1931

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 965 and 970.

LCM(965,970) = 21×51×971×1931
LCM(965,970) = 187210

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1, 5, 193, 965

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 965 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 965 and 970, than apply into the LCM equation.

GCF(965,970) = 5
LCM(965,970) = ( 965 × 970) / 5
LCM(965,970) = 936050 / 5
LCM(965,970) = 187210

Properties of LCM 965 and 970

(i) The LCM of 970 and 965 is associative

LCM of 965 and 970 = LCM of 970 and 965

Related Least Common Multiples of 965

Related Least Common Multiples of 970

Frequently Asked Questions on LCM of 965 and 970

1. What is the LCM of 965 and 970?

Answer: LCM of 965 and 970 is 187210.

2. What are the Factors of 965?

Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.

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 965 and 970?

Answer:

Least Common Multiple of 965 and 970 = 187210

Step 1: Find the prime factorization of 965

965 = 5 x 193

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 = 187210 = 2 x 5 x 97 x 193

Step 4: Therefore, the least common multiple of 965 and 970 is 187210.