Least Common Multiple of 7972 and 7977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7972 and 7977 the smallest integer that is 63592644 that is divisible by both numbers.

Least Common Multiple (LCM) of 7972 and 7977 is 63592644.

LCM(7972,7977) = 63592644

LCM of 7972 and 7977

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

LCM of:
and

Least Common Multiple of 7972 and 7977

LCM of 7972 and 7977 is 63592644

Least common multiple can be found by multiplying the highest exponent prime factors of 7972 and 7977. First we will calculate the prime factors of 7972 and 7977.

Prime Factorization of 7972


2 7972
2 3986
1993 1993
1

Prime factors of 7972 are 2,1993. Prime factorization of 7972 in exponential form is:

7972 = 22×19931

Prime Factorization of 7977


3 7977
2659 2659
1

Prime factors of 7977 are 3,2659. Prime factorization of 7977 in exponential form is:

7977 = 31×26591

Now multiplying the highest exponent prime factors to calculate the LCM of 7972 and 7977.

LCM(7972,7977) = 22×31×19931×26591
LCM(7972,7977) = 63592644

Factors of 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1, 2, 4, 1993, 3986, 7972

Factors of 7977

List of positive integer factors of 7977 that divides 7977 without a remainder.

1, 3, 2659, 7977

Least Common Multiple of 7972 and 7977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7972 and 7977, than apply into the LCM equation.

GCF(7972,7977) = 1
LCM(7972,7977) = ( 7972 × 7977) / 1
LCM(7972,7977) = 63592644 / 1
LCM(7972,7977) = 63592644

Properties of LCM 7972 and 7977

(i) The LCM of 7977 and 7972 is associative

LCM of 7972 and 7977 = LCM of 7977 and 7972

Related Least Common Multiples of 7972

Related Least Common Multiples of 7977

Frequently Asked Questions on LCM of 7972 and 7977

1. What is the LCM of 7972 and 7977?

Answer: LCM of 7972 and 7977 is 63592644.

2. What are the Factors of 7972?

Answer: Factors of 7972 are 1, 2, 4, 1993, 3986, 7972. There are 6 integers that are factors of 7972. The greatest factor of 7972 is 7972.

3. What are the Factors of 7977?

Answer: Factors of 7977 are 1, 3, 2659, 7977. There are 4 integers that are factors of 7977. The greatest factor of 7977 is 7977.

4. How to Find the LCM of 7972 and 7977?

Answer:

Least Common Multiple of 7972 and 7977 = 63592644

Step 1: Find the prime factorization of 7972

7972 = 2 x 2 x 1993

Step 2: Find the prime factorization of 7977

7977 = 3 x 2659

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

LCM = 63592644 = 2 x 2 x 3 x 1993 x 2659

Step 4: Therefore, the least common multiple of 7972 and 7977 is 63592644.