Least Common Multiple of 122 and 126

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 126 the smallest integer that is 7686 that is divisible by both numbers.

Least Common Multiple (LCM) of 122 and 126 is 7686.

LCM(122,126) = 7686

LCM of 122 and 126

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

LCM of:
and

Least Common Multiple of 122 and 126

LCM of 122 and 126 is 7686

Least common multiple can be found by multiplying the highest exponent prime factors of 122 and 126. First we will calculate the prime factors of 122 and 126.

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 126


2 126
3 63
3 21
7 7
1

Prime factors of 126 are 2, 3,7. Prime factorization of 126 in exponential form is:

126 = 21×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 122 and 126.

LCM(122,126) = 21×32×71×611
LCM(122,126) = 7686

Factors of 122

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

1, 2, 61, 122

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Least Common Multiple of 122 and 126 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 126, than apply into the LCM equation.

GCF(122,126) = 2
LCM(122,126) = ( 122 × 126) / 2
LCM(122,126) = 15372 / 2
LCM(122,126) = 7686

Properties of LCM 122 and 126

(i) The LCM of 126 and 122 is associative

LCM of 122 and 126 = LCM of 126 and 122

Related Least Common Multiples of 122

Related Least Common Multiples of 126

Frequently Asked Questions on LCM of 122 and 126

1. What is the LCM of 122 and 126?

Answer: LCM of 122 and 126 is 7686.

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 126?

Answer: Factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. There are 12 integers that are factors of 126. The greatest factor of 126 is 126.

4. How to Find the LCM of 122 and 126?

Answer:

Least Common Multiple of 122 and 126 = 7686

Step 1: Find the prime factorization of 122

122 = 2 x 61

Step 2: Find the prime factorization of 126

126 = 2 x 3 x 3 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 = 7686 = 2 x 3 x 3 x 7 x 61

Step 4: Therefore, the least common multiple of 122 and 126 is 7686.