Least Common Multiple of 122 and 124

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 124 the smallest integer that is 7564 that is divisible by both numbers.

Least Common Multiple (LCM) of 122 and 124 is 7564.

LCM(122,124) = 7564

LCM of 122 and 124

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

LCM of:
and

Least Common Multiple of 122 and 124

LCM of 122 and 124 is 7564

Least common multiple can be found by multiplying the highest exponent prime factors of 122 and 124. First we will calculate the prime factors of 122 and 124.

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 124


2 124
2 62
31 31
1

Prime factors of 124 are 2,31. Prime factorization of 124 in exponential form is:

124 = 22×311

Now multiplying the highest exponent prime factors to calculate the LCM of 122 and 124.

LCM(122,124) = 22×311×611
LCM(122,124) = 7564

Factors of 122

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

1, 2, 61, 122

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Least Common Multiple of 122 and 124 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 124, than apply into the LCM equation.

GCF(122,124) = 2
LCM(122,124) = ( 122 × 124) / 2
LCM(122,124) = 15128 / 2
LCM(122,124) = 7564

Properties of LCM 122 and 124

(i) The LCM of 124 and 122 is associative

LCM of 122 and 124 = LCM of 124 and 122

Related Least Common Multiples of 122

Related Least Common Multiples of 124

Frequently Asked Questions on LCM of 122 and 124

1. What is the LCM of 122 and 124?

Answer: LCM of 122 and 124 is 7564.

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 124?

Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.

4. How to Find the LCM of 122 and 124?

Answer:

Least Common Multiple of 122 and 124 = 7564

Step 1: Find the prime factorization of 122

122 = 2 x 61

Step 2: Find the prime factorization of 124

124 = 2 x 2 x 31

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

LCM = 7564 = 2 x 2 x 31 x 61

Step 4: Therefore, the least common multiple of 122 and 124 is 7564.