Least Common Multiple of 4932 and 4937

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 4937 the smallest integer that is 24349284 that is divisible by both numbers.

Least Common Multiple (LCM) of 4932 and 4937 is 24349284.

LCM(4932,4937) = 24349284

LCM of 4932 and 4937

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

LCM of:
and

Least Common Multiple of 4932 and 4937

LCM of 4932 and 4937 is 24349284

Least common multiple can be found by multiplying the highest exponent prime factors of 4932 and 4937. First we will calculate the prime factors of 4932 and 4937.

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 4937


4937 4937
1

Prime factors of 4937 are 4937. Prime factorization of 4937 in exponential form is:

4937 = 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 4932 and 4937.

LCM(4932,4937) = 22×32×1371×49371
LCM(4932,4937) = 24349284

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 4937

List of positive integer factors of 4937 that divides 4937 without a remainder.

1, 4937

Least Common Multiple of 4932 and 4937 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 4937, than apply into the LCM equation.

GCF(4932,4937) = 1
LCM(4932,4937) = ( 4932 × 4937) / 1
LCM(4932,4937) = 24349284 / 1
LCM(4932,4937) = 24349284

Properties of LCM 4932 and 4937

(i) The LCM of 4937 and 4932 is associative

LCM of 4932 and 4937 = LCM of 4937 and 4932

Related Least Common Multiples of 4932

Related Least Common Multiples of 4937

Frequently Asked Questions on LCM of 4932 and 4937

1. What is the LCM of 4932 and 4937?

Answer: LCM of 4932 and 4937 is 24349284.

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 4937?

Answer: Factors of 4937 are 1, 4937. There are 2 integers that are factors of 4937. The greatest factor of 4937 is 4937.

4. How to Find the LCM of 4932 and 4937?

Answer:

Least Common Multiple of 4932 and 4937 = 24349284

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 4937

4937 = 4937

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

LCM = 24349284 = 2 x 2 x 3 x 3 x 137 x 4937

Step 4: Therefore, the least common multiple of 4932 and 4937 is 24349284.