Least Common Multiple of 970 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 970 and 973 the smallest integer that is 943810 that is divisible by both numbers.

Least Common Multiple (LCM) of 970 and 973 is 943810.

LCM(970,973) = 943810

LCM of 970 and 973

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

LCM of:
and

Least Common Multiple of 970 and 973

LCM of 970 and 973 is 943810

Least common multiple can be found by multiplying the highest exponent prime factors of 970 and 973. First we will calculate the prime factors of 970 and 973.

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

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 970 and 973.

LCM(970,973) = 21×51×71×971×1391
LCM(970,973) = 943810

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Factors of 973

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

1, 7, 139, 973

Least Common Multiple of 970 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 970 and 973, than apply into the LCM equation.

GCF(970,973) = 1
LCM(970,973) = ( 970 × 973) / 1
LCM(970,973) = 943810 / 1
LCM(970,973) = 943810

Properties of LCM 970 and 973

(i) The LCM of 973 and 970 is associative

LCM of 970 and 973 = LCM of 973 and 970

Related Least Common Multiples of 970

Related Least Common Multiples of 973

Frequently Asked Questions on LCM of 970 and 973

1. What is the LCM of 970 and 973?

Answer: LCM of 970 and 973 is 943810.

2. 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.

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 970 and 973?

Answer:

Least Common Multiple of 970 and 973 = 943810

Step 1: Find the prime factorization of 970

970 = 2 x 5 x 97

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 = 943810 = 2 x 5 x 7 x 97 x 139

Step 4: Therefore, the least common multiple of 970 and 973 is 943810.