Least Common Multiple of 33154 and 33162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33154 and 33162 the smallest integer that is 549726474 that is divisible by both numbers.

Least Common Multiple (LCM) of 33154 and 33162 is 549726474.

LCM(33154,33162) = 549726474

LCM of 33154 and 33162

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

LCM of:
and

Least Common Multiple of 33154 and 33162

LCM of 33154 and 33162 is 549726474

Least common multiple can be found by multiplying the highest exponent prime factors of 33154 and 33162. First we will calculate the prime factors of 33154 and 33162.

Prime Factorization of 33154


2 33154
11 16577
11 1507
137 137
1

Prime factors of 33154 are 2, 11,137. Prime factorization of 33154 in exponential form is:

33154 = 21×112×1371

Prime Factorization of 33162


2 33162
3 16581
5527 5527
1

Prime factors of 33162 are 2, 3,5527. Prime factorization of 33162 in exponential form is:

33162 = 21×31×55271

Now multiplying the highest exponent prime factors to calculate the LCM of 33154 and 33162.

LCM(33154,33162) = 21×31×112×1371×55271
LCM(33154,33162) = 549726474

Factors of 33154

List of positive integer factors of 33154 that divides 33154 without a remainder.

1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577, 33154

Factors of 33162

List of positive integer factors of 33162 that divides 33162 without a remainder.

1, 2, 3, 6, 5527, 11054, 16581, 33162

Least Common Multiple of 33154 and 33162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33154 and 33162, than apply into the LCM equation.

GCF(33154,33162) = 2
LCM(33154,33162) = ( 33154 × 33162) / 2
LCM(33154,33162) = 1099452948 / 2
LCM(33154,33162) = 549726474

Properties of LCM 33154 and 33162

(i) The LCM of 33162 and 33154 is associative

LCM of 33154 and 33162 = LCM of 33162 and 33154

Related Least Common Multiples of 33154

Related Least Common Multiples of 33162

Frequently Asked Questions on LCM of 33154 and 33162

1. What is the LCM of 33154 and 33162?

Answer: LCM of 33154 and 33162 is 549726474.

2. What are the Factors of 33154?

Answer: Factors of 33154 are 1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577, 33154. There are 12 integers that are factors of 33154. The greatest factor of 33154 is 33154.

3. What are the Factors of 33162?

Answer: Factors of 33162 are 1, 2, 3, 6, 5527, 11054, 16581, 33162. There are 8 integers that are factors of 33162. The greatest factor of 33162 is 33162.

4. How to Find the LCM of 33154 and 33162?

Answer:

Least Common Multiple of 33154 and 33162 = 549726474

Step 1: Find the prime factorization of 33154

33154 = 2 x 11 x 11 x 137

Step 2: Find the prime factorization of 33162

33162 = 2 x 3 x 5527

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

LCM = 549726474 = 2 x 3 x 11 x 11 x 137 x 5527

Step 4: Therefore, the least common multiple of 33154 and 33162 is 549726474.