Least Common Multiple of 34194 and 34202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34194 and 34202 the smallest integer that is 584751594 that is divisible by both numbers.

Least Common Multiple (LCM) of 34194 and 34202 is 584751594.

LCM(34194,34202) = 584751594

LCM of 34194 and 34202

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

LCM of:
and

Least Common Multiple of 34194 and 34202

LCM of 34194 and 34202 is 584751594

Least common multiple can be found by multiplying the highest exponent prime factors of 34194 and 34202. First we will calculate the prime factors of 34194 and 34202.

Prime Factorization of 34194


2 34194
3 17097
41 5699
139 139
1

Prime factors of 34194 are 2, 3, 41,139. Prime factorization of 34194 in exponential form is:

34194 = 21×31×411×1391

Prime Factorization of 34202


2 34202
7 17101
7 2443
349 349
1

Prime factors of 34202 are 2, 7,349. Prime factorization of 34202 in exponential form is:

34202 = 21×72×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 34194 and 34202.

LCM(34194,34202) = 21×31×72×411×1391×3491
LCM(34194,34202) = 584751594

Factors of 34194

List of positive integer factors of 34194 that divides 34194 without a remainder.

1, 2, 3, 6, 41, 82, 123, 139, 246, 278, 417, 834, 5699, 11398, 17097, 34194

Factors of 34202

List of positive integer factors of 34202 that divides 34202 without a remainder.

1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202

Least Common Multiple of 34194 and 34202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34194 and 34202, than apply into the LCM equation.

GCF(34194,34202) = 2
LCM(34194,34202) = ( 34194 × 34202) / 2
LCM(34194,34202) = 1169503188 / 2
LCM(34194,34202) = 584751594

Properties of LCM 34194 and 34202

(i) The LCM of 34202 and 34194 is associative

LCM of 34194 and 34202 = LCM of 34202 and 34194

Related Least Common Multiples of 34194

Related Least Common Multiples of 34202

Frequently Asked Questions on LCM of 34194 and 34202

1. What is the LCM of 34194 and 34202?

Answer: LCM of 34194 and 34202 is 584751594.

2. What are the Factors of 34194?

Answer: Factors of 34194 are 1, 2, 3, 6, 41, 82, 123, 139, 246, 278, 417, 834, 5699, 11398, 17097, 34194. There are 16 integers that are factors of 34194. The greatest factor of 34194 is 34194.

3. What are the Factors of 34202?

Answer: Factors of 34202 are 1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202. There are 12 integers that are factors of 34202. The greatest factor of 34202 is 34202.

4. How to Find the LCM of 34194 and 34202?

Answer:

Least Common Multiple of 34194 and 34202 = 584751594

Step 1: Find the prime factorization of 34194

34194 = 2 x 3 x 41 x 139

Step 2: Find the prime factorization of 34202

34202 = 2 x 7 x 7 x 349

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

LCM = 584751594 = 2 x 3 x 7 x 7 x 41 x 139 x 349

Step 4: Therefore, the least common multiple of 34194 and 34202 is 584751594.