Least Common Multiple of 3972 and 3977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3972 and 3977 the smallest integer that is 15796644 that is divisible by both numbers.

Least Common Multiple (LCM) of 3972 and 3977 is 15796644.

LCM(3972,3977) = 15796644

LCM of 3972 and 3977

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

LCM of:
and

Least Common Multiple of 3972 and 3977

LCM of 3972 and 3977 is 15796644

Least common multiple can be found by multiplying the highest exponent prime factors of 3972 and 3977. First we will calculate the prime factors of 3972 and 3977.

Prime Factorization of 3972


2 3972
2 1986
3 993
331 331
1

Prime factors of 3972 are 2, 3,331. Prime factorization of 3972 in exponential form is:

3972 = 22×31×3311

Prime Factorization of 3977


41 3977
97 97
1

Prime factors of 3977 are 41,97. Prime factorization of 3977 in exponential form is:

3977 = 411×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3972 and 3977.

LCM(3972,3977) = 22×31×411×971×3311
LCM(3972,3977) = 15796644

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972

Factors of 3977

List of positive integer factors of 3977 that divides 3977 without a remainder.

1, 41, 97, 3977

Least Common Multiple of 3972 and 3977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3972 and 3977, than apply into the LCM equation.

GCF(3972,3977) = 1
LCM(3972,3977) = ( 3972 × 3977) / 1
LCM(3972,3977) = 15796644 / 1
LCM(3972,3977) = 15796644

Properties of LCM 3972 and 3977

(i) The LCM of 3977 and 3972 is associative

LCM of 3972 and 3977 = LCM of 3977 and 3972

Related Least Common Multiples of 3972

Related Least Common Multiples of 3977

Frequently Asked Questions on LCM of 3972 and 3977

1. What is the LCM of 3972 and 3977?

Answer: LCM of 3972 and 3977 is 15796644.

2. What are the Factors of 3972?

Answer: Factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972. There are 12 integers that are factors of 3972. The greatest factor of 3972 is 3972.

3. What are the Factors of 3977?

Answer: Factors of 3977 are 1, 41, 97, 3977. There are 4 integers that are factors of 3977. The greatest factor of 3977 is 3977.

4. How to Find the LCM of 3972 and 3977?

Answer:

Least Common Multiple of 3972 and 3977 = 15796644

Step 1: Find the prime factorization of 3972

3972 = 2 x 2 x 3 x 331

Step 2: Find the prime factorization of 3977

3977 = 41 x 97

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

LCM = 15796644 = 2 x 2 x 3 x 41 x 97 x 331

Step 4: Therefore, the least common multiple of 3972 and 3977 is 15796644.