Least Common Multiple of 965 and 972

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 972 the smallest integer that is 937980 that is divisible by both numbers.

Least Common Multiple (LCM) of 965 and 972 is 937980.

LCM(965,972) = 937980

LCM of 965 and 972

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

LCM of:
and

Least Common Multiple of 965 and 972

LCM of 965 and 972 is 937980

Least common multiple can be found by multiplying the highest exponent prime factors of 965 and 972. First we will calculate the prime factors of 965 and 972.

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 972


2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 972 are 2,3. Prime factorization of 972 in exponential form is:

972 = 22×35

Now multiplying the highest exponent prime factors to calculate the LCM of 965 and 972.

LCM(965,972) = 22×35×51×1931
LCM(965,972) = 937980

Factors of 965

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

1, 5, 193, 965

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Least Common Multiple of 965 and 972 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 972, than apply into the LCM equation.

GCF(965,972) = 1
LCM(965,972) = ( 965 × 972) / 1
LCM(965,972) = 937980 / 1
LCM(965,972) = 937980

Properties of LCM 965 and 972

(i) The LCM of 972 and 965 is associative

LCM of 965 and 972 = LCM of 972 and 965

Related Least Common Multiples of 965

Related Least Common Multiples of 972

Frequently Asked Questions on LCM of 965 and 972

1. What is the LCM of 965 and 972?

Answer: LCM of 965 and 972 is 937980.

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 972?

Answer: Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. There are 18 integers that are factors of 972. The greatest factor of 972 is 972.

4. How to Find the LCM of 965 and 972?

Answer:

Least Common Multiple of 965 and 972 = 937980

Step 1: Find the prime factorization of 965

965 = 5 x 193

Step 2: Find the prime factorization of 972

972 = 2 x 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 937980 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 193

Step 4: Therefore, the least common multiple of 965 and 972 is 937980.