Least Common Multiple of 126 and 134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 126 and 134 the smallest integer that is 8442 that is divisible by both numbers.

Least Common Multiple (LCM) of 126 and 134 is 8442.

LCM(126,134) = 8442

LCM of 126 and 134

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

LCM of:
and

Least Common Multiple of 126 and 134

LCM of 126 and 134 is 8442

Least common multiple can be found by multiplying the highest exponent prime factors of 126 and 134. First we will calculate the prime factors of 126 and 134.

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

Prime Factorization of 134


2 134
67 67
1

Prime factors of 134 are 2,67. Prime factorization of 134 in exponential form is:

134 = 21×671

Now multiplying the highest exponent prime factors to calculate the LCM of 126 and 134.

LCM(126,134) = 21×32×71×671
LCM(126,134) = 8442

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

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Least Common Multiple of 126 and 134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 126 and 134, than apply into the LCM equation.

GCF(126,134) = 2
LCM(126,134) = ( 126 × 134) / 2
LCM(126,134) = 16884 / 2
LCM(126,134) = 8442

Properties of LCM 126 and 134

(i) The LCM of 134 and 126 is associative

LCM of 126 and 134 = LCM of 134 and 126

Related Least Common Multiples of 126

Related Least Common Multiples of 134

Frequently Asked Questions on LCM of 126 and 134

1. What is the LCM of 126 and 134?

Answer: LCM of 126 and 134 is 8442.

2. 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.

3. What are the Factors of 134?

Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.

4. How to Find the LCM of 126 and 134?

Answer:

Least Common Multiple of 126 and 134 = 8442

Step 1: Find the prime factorization of 126

126 = 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 134

134 = 2 x 67

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

LCM = 8442 = 2 x 3 x 3 x 7 x 67

Step 4: Therefore, the least common multiple of 126 and 134 is 8442.