Least Common Multiple of 6972 and 6977

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 6977 the smallest integer that is 48643644 that is divisible by both numbers.

Least Common Multiple (LCM) of 6972 and 6977 is 48643644.

LCM(6972,6977) = 48643644

LCM of 6972 and 6977

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

LCM of:
and

Least Common Multiple of 6972 and 6977

LCM of 6972 and 6977 is 48643644

Least common multiple can be found by multiplying the highest exponent prime factors of 6972 and 6977. First we will calculate the prime factors of 6972 and 6977.

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 6977


6977 6977
1

Prime factors of 6977 are 6977. Prime factorization of 6977 in exponential form is:

6977 = 69771

Now multiplying the highest exponent prime factors to calculate the LCM of 6972 and 6977.

LCM(6972,6977) = 22×31×71×831×69771
LCM(6972,6977) = 48643644

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 6977

List of positive integer factors of 6977 that divides 6977 without a remainder.

1, 6977

Least Common Multiple of 6972 and 6977 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 6977, than apply into the LCM equation.

GCF(6972,6977) = 1
LCM(6972,6977) = ( 6972 × 6977) / 1
LCM(6972,6977) = 48643644 / 1
LCM(6972,6977) = 48643644

Properties of LCM 6972 and 6977

(i) The LCM of 6977 and 6972 is associative

LCM of 6972 and 6977 = LCM of 6977 and 6972

Related Least Common Multiples of 6972

Related Least Common Multiples of 6977

Frequently Asked Questions on LCM of 6972 and 6977

1. What is the LCM of 6972 and 6977?

Answer: LCM of 6972 and 6977 is 48643644.

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 6977?

Answer: Factors of 6977 are 1, 6977. There are 2 integers that are factors of 6977. The greatest factor of 6977 is 6977.

4. How to Find the LCM of 6972 and 6977?

Answer:

Least Common Multiple of 6972 and 6977 = 48643644

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 6977

6977 = 6977

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

LCM = 48643644 = 2 x 2 x 3 x 7 x 83 x 6977

Step 4: Therefore, the least common multiple of 6972 and 6977 is 48643644.