Least Common Multiple of 973 and 979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 973 and 979 the smallest integer that is 952567 that is divisible by both numbers.

Least Common Multiple (LCM) of 973 and 979 is 952567.

LCM(973,979) = 952567

LCM of 973 and 979

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

LCM of:
and

Least Common Multiple of 973 and 979

LCM of 973 and 979 is 952567

Least common multiple can be found by multiplying the highest exponent prime factors of 973 and 979. First we will calculate the prime factors of 973 and 979.

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

Prime Factorization of 979


11 979
89 89
1

Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:

979 = 111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 973 and 979.

LCM(973,979) = 71×111×891×1391
LCM(973,979) = 952567

Factors of 973

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

1, 7, 139, 973

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Least Common Multiple of 973 and 979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 973 and 979, than apply into the LCM equation.

GCF(973,979) = 1
LCM(973,979) = ( 973 × 979) / 1
LCM(973,979) = 952567 / 1
LCM(973,979) = 952567

Properties of LCM 973 and 979

(i) The LCM of 979 and 973 is associative

LCM of 973 and 979 = LCM of 979 and 973

Related Least Common Multiples of 973

Related Least Common Multiples of 979

Frequently Asked Questions on LCM of 973 and 979

1. What is the LCM of 973 and 979?

Answer: LCM of 973 and 979 is 952567.

2. 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.

3. What are the Factors of 979?

Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.

4. How to Find the LCM of 973 and 979?

Answer:

Least Common Multiple of 973 and 979 = 952567

Step 1: Find the prime factorization of 973

973 = 7 x 139

Step 2: Find the prime factorization of 979

979 = 11 x 89

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

LCM = 952567 = 7 x 11 x 89 x 139

Step 4: Therefore, the least common multiple of 973 and 979 is 952567.