Least Common Multiple of 119 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 119 and 126 the smallest integer that is 2142 that is divisible by both numbers.

Least Common Multiple (LCM) of 119 and 126 is 2142.

LCM(119,126) = 2142

LCM of 119 and 126

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

LCM of:
and

Least Common Multiple of 119 and 126

LCM of 119 and 126 is 2142

Least common multiple can be found by multiplying the highest exponent prime factors of 119 and 126. First we will calculate the prime factors of 119 and 126.

Prime Factorization of 119


7 119
17 17
1

Prime factors of 119 are 7,17. Prime factorization of 119 in exponential form is:

119 = 71×171

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 119 and 126.

LCM(119,126) = 21×32×71×171
LCM(119,126) = 2142

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 119 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 119 and 126, than apply into the LCM equation.

GCF(119,126) = 7
LCM(119,126) = ( 119 × 126) / 7
LCM(119,126) = 14994 / 7
LCM(119,126) = 2142

Properties of LCM 119 and 126

(i) The LCM of 126 and 119 is associative

LCM of 119 and 126 = LCM of 126 and 119

Related Least Common Multiples of 119

Related Least Common Multiples of 126

Frequently Asked Questions on LCM of 119 and 126

1. What is the LCM of 119 and 126?

Answer: LCM of 119 and 126 is 2142.

2. What are the Factors of 119?

Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.

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 119 and 126?

Answer:

Least Common Multiple of 119 and 126 = 2142

Step 1: Find the prime factorization of 119

119 = 7 x 17

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 = 2142 = 2 x 3 x 3 x 7 x 17

Step 4: Therefore, the least common multiple of 119 and 126 is 2142.