Least Common Multiple of 4965 and 4972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4965 and 4972 the smallest integer that is 24685980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4965 and 4972 is 24685980.

LCM(4965,4972) = 24685980

LCM of 4965 and 4972

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

LCM of:
and

Least Common Multiple of 4965 and 4972

LCM of 4965 and 4972 is 24685980

Least common multiple can be found by multiplying the highest exponent prime factors of 4965 and 4972. First we will calculate the prime factors of 4965 and 4972.

Prime Factorization of 4965


3 4965
5 1655
331 331
1

Prime factors of 4965 are 3, 5,331. Prime factorization of 4965 in exponential form is:

4965 = 31×51×3311

Prime Factorization of 4972


2 4972
2 2486
11 1243
113 113
1

Prime factors of 4972 are 2, 11,113. Prime factorization of 4972 in exponential form is:

4972 = 22×111×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4965 and 4972.

LCM(4965,4972) = 22×31×51×111×1131×3311
LCM(4965,4972) = 24685980

Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1, 3, 5, 15, 331, 993, 1655, 4965

Factors of 4972

List of positive integer factors of 4972 that divides 4972 without a remainder.

1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

Least Common Multiple of 4965 and 4972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4965 and 4972, than apply into the LCM equation.

GCF(4965,4972) = 1
LCM(4965,4972) = ( 4965 × 4972) / 1
LCM(4965,4972) = 24685980 / 1
LCM(4965,4972) = 24685980

Properties of LCM 4965 and 4972

(i) The LCM of 4972 and 4965 is associative

LCM of 4965 and 4972 = LCM of 4972 and 4965

Related Least Common Multiples of 4965

Related Least Common Multiples of 4972

Frequently Asked Questions on LCM of 4965 and 4972

1. What is the LCM of 4965 and 4972?

Answer: LCM of 4965 and 4972 is 24685980.

2. What are the Factors of 4965?

Answer: Factors of 4965 are 1, 3, 5, 15, 331, 993, 1655, 4965. There are 8 integers that are factors of 4965. The greatest factor of 4965 is 4965.

3. What are the Factors of 4972?

Answer: Factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972. There are 12 integers that are factors of 4972. The greatest factor of 4972 is 4972.

4. How to Find the LCM of 4965 and 4972?

Answer:

Least Common Multiple of 4965 and 4972 = 24685980

Step 1: Find the prime factorization of 4965

4965 = 3 x 5 x 331

Step 2: Find the prime factorization of 4972

4972 = 2 x 2 x 11 x 113

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

LCM = 24685980 = 2 x 2 x 3 x 5 x 11 x 113 x 331

Step 4: Therefore, the least common multiple of 4965 and 4972 is 24685980.