Least Common Multiple of 9198 and 9202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9198 and 9202 the smallest integer that is 42319998 that is divisible by both numbers.

Least Common Multiple (LCM) of 9198 and 9202 is 42319998.

LCM(9198,9202) = 42319998

LCM of 9198 and 9202

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

LCM of:
and

Least Common Multiple of 9198 and 9202

LCM of 9198 and 9202 is 42319998

Least common multiple can be found by multiplying the highest exponent prime factors of 9198 and 9202. First we will calculate the prime factors of 9198 and 9202.

Prime Factorization of 9198


2 9198
3 4599
3 1533
7 511
73 73
1

Prime factors of 9198 are 2, 3, 7,73. Prime factorization of 9198 in exponential form is:

9198 = 21×32×71×731

Prime Factorization of 9202


2 9202
43 4601
107 107
1

Prime factors of 9202 are 2, 43,107. Prime factorization of 9202 in exponential form is:

9202 = 21×431×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9198 and 9202.

LCM(9198,9202) = 21×32×71×431×731×1071
LCM(9198,9202) = 42319998

Factors of 9198

List of positive integer factors of 9198 that divides 9198 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198

Factors of 9202

List of positive integer factors of 9202 that divides 9202 without a remainder.

1, 2, 43, 86, 107, 214, 4601, 9202

Least Common Multiple of 9198 and 9202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9198 and 9202, than apply into the LCM equation.

GCF(9198,9202) = 2
LCM(9198,9202) = ( 9198 × 9202) / 2
LCM(9198,9202) = 84639996 / 2
LCM(9198,9202) = 42319998

Properties of LCM 9198 and 9202

(i) The LCM of 9202 and 9198 is associative

LCM of 9198 and 9202 = LCM of 9202 and 9198

Related Least Common Multiples of 9198

Related Least Common Multiples of 9202

Frequently Asked Questions on LCM of 9198 and 9202

1. What is the LCM of 9198 and 9202?

Answer: LCM of 9198 and 9202 is 42319998.

2. What are the Factors of 9198?

Answer: Factors of 9198 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198. There are 24 integers that are factors of 9198. The greatest factor of 9198 is 9198.

3. What are the Factors of 9202?

Answer: Factors of 9202 are 1, 2, 43, 86, 107, 214, 4601, 9202. There are 8 integers that are factors of 9202. The greatest factor of 9202 is 9202.

4. How to Find the LCM of 9198 and 9202?

Answer:

Least Common Multiple of 9198 and 9202 = 42319998

Step 1: Find the prime factorization of 9198

9198 = 2 x 3 x 3 x 7 x 73

Step 2: Find the prime factorization of 9202

9202 = 2 x 43 x 107

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

LCM = 42319998 = 2 x 3 x 3 x 7 x 43 x 73 x 107

Step 4: Therefore, the least common multiple of 9198 and 9202 is 42319998.