Least Common Multiple of 6121 and 6125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6121 and 6125 the smallest integer that is 37491125 that is divisible by both numbers.

Least Common Multiple (LCM) of 6121 and 6125 is 37491125.

LCM(6121,6125) = 37491125

LCM of 6121 and 6125

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

LCM of:
and

Least Common Multiple of 6121 and 6125

LCM of 6121 and 6125 is 37491125

Least common multiple can be found by multiplying the highest exponent prime factors of 6121 and 6125. First we will calculate the prime factors of 6121 and 6125.

Prime Factorization of 6121


6121 6121
1

Prime factors of 6121 are 6121. Prime factorization of 6121 in exponential form is:

6121 = 61211

Prime Factorization of 6125


5 6125
5 1225
5 245
7 49
7 7
1

Prime factors of 6125 are 5,7. Prime factorization of 6125 in exponential form is:

6125 = 53×72

Now multiplying the highest exponent prime factors to calculate the LCM of 6121 and 6125.

LCM(6121,6125) = 53×72×61211
LCM(6121,6125) = 37491125

Factors of 6121

List of positive integer factors of 6121 that divides 6121 without a remainder.

1, 6121

Factors of 6125

List of positive integer factors of 6125 that divides 6125 without a remainder.

1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125

Least Common Multiple of 6121 and 6125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6121 and 6125, than apply into the LCM equation.

GCF(6121,6125) = 1
LCM(6121,6125) = ( 6121 × 6125) / 1
LCM(6121,6125) = 37491125 / 1
LCM(6121,6125) = 37491125

Properties of LCM 6121 and 6125

(i) The LCM of 6125 and 6121 is associative

LCM of 6121 and 6125 = LCM of 6125 and 6121

Related Least Common Multiples of 6121

Related Least Common Multiples of 6125

Frequently Asked Questions on LCM of 6121 and 6125

1. What is the LCM of 6121 and 6125?

Answer: LCM of 6121 and 6125 is 37491125.

2. What are the Factors of 6121?

Answer: Factors of 6121 are 1, 6121. There are 2 integers that are factors of 6121. The greatest factor of 6121 is 6121.

3. What are the Factors of 6125?

Answer: Factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125. There are 12 integers that are factors of 6125. The greatest factor of 6125 is 6125.

4. How to Find the LCM of 6121 and 6125?

Answer:

Least Common Multiple of 6121 and 6125 = 37491125

Step 1: Find the prime factorization of 6121

6121 = 6121

Step 2: Find the prime factorization of 6125

6125 = 5 x 5 x 5 x 7 x 7

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

LCM = 37491125 = 5 x 5 x 5 x 7 x 7 x 6121

Step 4: Therefore, the least common multiple of 6121 and 6125 is 37491125.