Least Common Multiple of 122 and 125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 122 and 125 the smallest integer that is 15250 that is divisible by both numbers.

Least Common Multiple (LCM) of 122 and 125 is 15250.

LCM(122,125) = 15250

LCM of 122 and 125

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

LCM of:
and

Least Common Multiple of 122 and 125

LCM of 122 and 125 is 15250

Least common multiple can be found by multiplying the highest exponent prime factors of 122 and 125. First we will calculate the prime factors of 122 and 125.

Prime Factorization of 122


2 122
61 61
1

Prime factors of 122 are 2,61. Prime factorization of 122 in exponential form is:

122 = 21×611

Prime Factorization of 125


5 125
5 25
5 5
1

Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:

125 = 53

Now multiplying the highest exponent prime factors to calculate the LCM of 122 and 125.

LCM(122,125) = 21×53×611
LCM(122,125) = 15250

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Least Common Multiple of 122 and 125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 122 and 125, than apply into the LCM equation.

GCF(122,125) = 1
LCM(122,125) = ( 122 × 125) / 1
LCM(122,125) = 15250 / 1
LCM(122,125) = 15250

Properties of LCM 122 and 125

(i) The LCM of 125 and 122 is associative

LCM of 122 and 125 = LCM of 125 and 122

Related Least Common Multiples of 122

Related Least Common Multiples of 125

Frequently Asked Questions on LCM of 122 and 125

1. What is the LCM of 122 and 125?

Answer: LCM of 122 and 125 is 15250.

2. What are the Factors of 122?

Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.

3. What are the Factors of 125?

Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.

4. How to Find the LCM of 122 and 125?

Answer:

Least Common Multiple of 122 and 125 = 15250

Step 1: Find the prime factorization of 122

122 = 2 x 61

Step 2: Find the prime factorization of 125

125 = 5 x 5 x 5

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

LCM = 15250 = 2 x 5 x 5 x 5 x 61

Step 4: Therefore, the least common multiple of 122 and 125 is 15250.