Least Common Multiple of 6972 and 6980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6972 and 6980 the smallest integer that is 12166140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6972 and 6980 is 12166140.

LCM(6972,6980) = 12166140

LCM of 6972 and 6980

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

LCM of:
and

Least Common Multiple of 6972 and 6980

LCM of 6972 and 6980 is 12166140

Least common multiple can be found by multiplying the highest exponent prime factors of 6972 and 6980. First we will calculate the prime factors of 6972 and 6980.

Prime Factorization of 6972


2 6972
2 3486
3 1743
7 581
83 83
1

Prime factors of 6972 are 2, 3, 7,83. Prime factorization of 6972 in exponential form is:

6972 = 22×31×71×831

Prime Factorization of 6980


2 6980
2 3490
5 1745
349 349
1

Prime factors of 6980 are 2, 5,349. Prime factorization of 6980 in exponential form is:

6980 = 22×51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 6972 and 6980.

LCM(6972,6980) = 22×31×51×71×831×3491
LCM(6972,6980) = 12166140

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972

Factors of 6980

List of positive integer factors of 6980 that divides 6980 without a remainder.

1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980

Least Common Multiple of 6972 and 6980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6972 and 6980, than apply into the LCM equation.

GCF(6972,6980) = 4
LCM(6972,6980) = ( 6972 × 6980) / 4
LCM(6972,6980) = 48664560 / 4
LCM(6972,6980) = 12166140

Properties of LCM 6972 and 6980

(i) The LCM of 6980 and 6972 is associative

LCM of 6972 and 6980 = LCM of 6980 and 6972

Related Least Common Multiples of 6972

Related Least Common Multiples of 6980

Frequently Asked Questions on LCM of 6972 and 6980

1. What is the LCM of 6972 and 6980?

Answer: LCM of 6972 and 6980 is 12166140.

2. What are the Factors of 6972?

Answer: Factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. There are 24 integers that are factors of 6972. The greatest factor of 6972 is 6972.

3. What are the Factors of 6980?

Answer: Factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980. There are 12 integers that are factors of 6980. The greatest factor of 6980 is 6980.

4. How to Find the LCM of 6972 and 6980?

Answer:

Least Common Multiple of 6972 and 6980 = 12166140

Step 1: Find the prime factorization of 6972

6972 = 2 x 2 x 3 x 7 x 83

Step 2: Find the prime factorization of 6980

6980 = 2 x 2 x 5 x 349

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

LCM = 12166140 = 2 x 2 x 3 x 5 x 7 x 83 x 349

Step 4: Therefore, the least common multiple of 6972 and 6980 is 12166140.