Least Common Multiple of 972 and 973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 972 and 973 the smallest integer that is 945756 that is divisible by both numbers.

Least Common Multiple (LCM) of 972 and 973 is 945756.

LCM(972,973) = 945756

LCM of 972 and 973

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

LCM of:
and

Least Common Multiple of 972 and 973

LCM of 972 and 973 is 945756

Least common multiple can be found by multiplying the highest exponent prime factors of 972 and 973. First we will calculate the prime factors of 972 and 973.

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

Prime Factorization of 973


7 973
139 139
1

Prime factors of 973 are 7,139. Prime factorization of 973 in exponential form is:

973 = 71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 972 and 973.

LCM(972,973) = 22×35×71×1391
LCM(972,973) = 945756

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

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Least Common Multiple of 972 and 973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 972 and 973, than apply into the LCM equation.

GCF(972,973) = 1
LCM(972,973) = ( 972 × 973) / 1
LCM(972,973) = 945756 / 1
LCM(972,973) = 945756

Properties of LCM 972 and 973

(i) The LCM of 973 and 972 is associative

LCM of 972 and 973 = LCM of 973 and 972

Related Least Common Multiples of 972

Related Least Common Multiples of 973

Frequently Asked Questions on LCM of 972 and 973

1. What is the LCM of 972 and 973?

Answer: LCM of 972 and 973 is 945756.

2. 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.

3. What are the Factors of 973?

Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.

4. How to Find the LCM of 972 and 973?

Answer:

Least Common Multiple of 972 and 973 = 945756

Step 1: Find the prime factorization of 972

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

Step 2: Find the prime factorization of 973

973 = 7 x 139

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

LCM = 945756 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 139

Step 4: Therefore, the least common multiple of 972 and 973 is 945756.