Least Common Multiple of 4967 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 4967 and 4972 the smallest integer that is 24695924 that is divisible by both numbers.

Least Common Multiple (LCM) of 4967 and 4972 is 24695924.

LCM(4967,4972) = 24695924

LCM of 4967 and 4972

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

LCM of:
and

Least Common Multiple of 4967 and 4972

LCM of 4967 and 4972 is 24695924

Least common multiple can be found by multiplying the highest exponent prime factors of 4967 and 4972. First we will calculate the prime factors of 4967 and 4972.

Prime Factorization of 4967


4967 4967
1

Prime factors of 4967 are 4967. Prime factorization of 4967 in exponential form is:

4967 = 49671

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 4967 and 4972.

LCM(4967,4972) = 22×111×1131×49671
LCM(4967,4972) = 24695924

Factors of 4967

List of positive integer factors of 4967 that divides 4967 without a remainder.

1, 4967

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 4967 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 4967 and 4972, than apply into the LCM equation.

GCF(4967,4972) = 1
LCM(4967,4972) = ( 4967 × 4972) / 1
LCM(4967,4972) = 24695924 / 1
LCM(4967,4972) = 24695924

Properties of LCM 4967 and 4972

(i) The LCM of 4972 and 4967 is associative

LCM of 4967 and 4972 = LCM of 4972 and 4967

Related Least Common Multiples of 4967

Related Least Common Multiples of 4972

Frequently Asked Questions on LCM of 4967 and 4972

1. What is the LCM of 4967 and 4972?

Answer: LCM of 4967 and 4972 is 24695924.

2. What are the Factors of 4967?

Answer: Factors of 4967 are 1, 4967. There are 2 integers that are factors of 4967. The greatest factor of 4967 is 4967.

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 4967 and 4972?

Answer:

Least Common Multiple of 4967 and 4972 = 24695924

Step 1: Find the prime factorization of 4967

4967 = 4967

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 = 24695924 = 2 x 2 x 11 x 113 x 4967

Step 4: Therefore, the least common multiple of 4967 and 4972 is 24695924.