Least Common Multiple of 4972 and 4979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4972 and 4979 the smallest integer that is 24755588 that is divisible by both numbers.

Least Common Multiple (LCM) of 4972 and 4979 is 24755588.

LCM(4972,4979) = 24755588

LCM of 4972 and 4979

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

LCM of:
and

Least Common Multiple of 4972 and 4979

LCM of 4972 and 4979 is 24755588

Least common multiple can be found by multiplying the highest exponent prime factors of 4972 and 4979. First we will calculate the prime factors of 4972 and 4979.

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

Prime Factorization of 4979


13 4979
383 383
1

Prime factors of 4979 are 13,383. Prime factorization of 4979 in exponential form is:

4979 = 131×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 4972 and 4979.

LCM(4972,4979) = 22×111×131×1131×3831
LCM(4972,4979) = 24755588

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

Factors of 4979

List of positive integer factors of 4979 that divides 4979 without a remainder.

1, 13, 383, 4979

Least Common Multiple of 4972 and 4979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4972 and 4979, than apply into the LCM equation.

GCF(4972,4979) = 1
LCM(4972,4979) = ( 4972 × 4979) / 1
LCM(4972,4979) = 24755588 / 1
LCM(4972,4979) = 24755588

Properties of LCM 4972 and 4979

(i) The LCM of 4979 and 4972 is associative

LCM of 4972 and 4979 = LCM of 4979 and 4972

Related Least Common Multiples of 4972

Related Least Common Multiples of 4979

Frequently Asked Questions on LCM of 4972 and 4979

1. What is the LCM of 4972 and 4979?

Answer: LCM of 4972 and 4979 is 24755588.

2. 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.

3. What are the Factors of 4979?

Answer: Factors of 4979 are 1, 13, 383, 4979. There are 4 integers that are factors of 4979. The greatest factor of 4979 is 4979.

4. How to Find the LCM of 4972 and 4979?

Answer:

Least Common Multiple of 4972 and 4979 = 24755588

Step 1: Find the prime factorization of 4972

4972 = 2 x 2 x 11 x 113

Step 2: Find the prime factorization of 4979

4979 = 13 x 383

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

LCM = 24755588 = 2 x 2 x 11 x 13 x 113 x 383

Step 4: Therefore, the least common multiple of 4972 and 4979 is 24755588.