Least Common Multiple of 4932 and 4936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4932 and 4936 the smallest integer that is 6086088 that is divisible by both numbers.

Least Common Multiple (LCM) of 4932 and 4936 is 6086088.

LCM(4932,4936) = 6086088

LCM of 4932 and 4936

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

LCM of:
and

Least Common Multiple of 4932 and 4936

LCM of 4932 and 4936 is 6086088

Least common multiple can be found by multiplying the highest exponent prime factors of 4932 and 4936. First we will calculate the prime factors of 4932 and 4936.

Prime Factorization of 4932


2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 4932 are 2, 3,137. Prime factorization of 4932 in exponential form is:

4932 = 22×32×1371

Prime Factorization of 4936


2 4936
2 2468
2 1234
617 617
1

Prime factors of 4936 are 2,617. Prime factorization of 4936 in exponential form is:

4936 = 23×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 4932 and 4936.

LCM(4932,4936) = 23×32×1371×6171
LCM(4932,4936) = 6086088

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932

Factors of 4936

List of positive integer factors of 4936 that divides 4936 without a remainder.

1, 2, 4, 8, 617, 1234, 2468, 4936

Least Common Multiple of 4932 and 4936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4932 and 4936, than apply into the LCM equation.

GCF(4932,4936) = 4
LCM(4932,4936) = ( 4932 × 4936) / 4
LCM(4932,4936) = 24344352 / 4
LCM(4932,4936) = 6086088

Properties of LCM 4932 and 4936

(i) The LCM of 4936 and 4932 is associative

LCM of 4932 and 4936 = LCM of 4936 and 4932

Related Least Common Multiples of 4932

Related Least Common Multiples of 4936

Frequently Asked Questions on LCM of 4932 and 4936

1. What is the LCM of 4932 and 4936?

Answer: LCM of 4932 and 4936 is 6086088.

2. What are the Factors of 4932?

Answer: Factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932. There are 18 integers that are factors of 4932. The greatest factor of 4932 is 4932.

3. What are the Factors of 4936?

Answer: Factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936. There are 8 integers that are factors of 4936. The greatest factor of 4936 is 4936.

4. How to Find the LCM of 4932 and 4936?

Answer:

Least Common Multiple of 4932 and 4936 = 6086088

Step 1: Find the prime factorization of 4932

4932 = 2 x 2 x 3 x 3 x 137

Step 2: Find the prime factorization of 4936

4936 = 2 x 2 x 2 x 617

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

LCM = 6086088 = 2 x 2 x 2 x 3 x 3 x 137 x 617

Step 4: Therefore, the least common multiple of 4932 and 4936 is 6086088.