Least Common Multiple of 1198 and 1202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1198 and 1202 the smallest integer that is 719998 that is divisible by both numbers.

Least Common Multiple (LCM) of 1198 and 1202 is 719998.

LCM(1198,1202) = 719998

LCM of 1198 and 1202

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

LCM of:
and

Least Common Multiple of 1198 and 1202

LCM of 1198 and 1202 is 719998

Least common multiple can be found by multiplying the highest exponent prime factors of 1198 and 1202. First we will calculate the prime factors of 1198 and 1202.

Prime Factorization of 1198


2 1198
599 599
1

Prime factors of 1198 are 2,599. Prime factorization of 1198 in exponential form is:

1198 = 21×5991

Prime Factorization of 1202


2 1202
601 601
1

Prime factors of 1202 are 2,601. Prime factorization of 1202 in exponential form is:

1202 = 21×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 1198 and 1202.

LCM(1198,1202) = 21×5991×6011
LCM(1198,1202) = 719998

Factors of 1198

List of positive integer factors of 1198 that divides 1198 without a remainder.

1, 2, 599, 1198

Factors of 1202

List of positive integer factors of 1202 that divides 1202 without a remainder.

1, 2, 601, 1202

Least Common Multiple of 1198 and 1202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1198 and 1202, than apply into the LCM equation.

GCF(1198,1202) = 2
LCM(1198,1202) = ( 1198 × 1202) / 2
LCM(1198,1202) = 1439996 / 2
LCM(1198,1202) = 719998

Properties of LCM 1198 and 1202

(i) The LCM of 1202 and 1198 is associative

LCM of 1198 and 1202 = LCM of 1202 and 1198

Related Least Common Multiples of 1198

Related Least Common Multiples of 1202

Frequently Asked Questions on LCM of 1198 and 1202

1. What is the LCM of 1198 and 1202?

Answer: LCM of 1198 and 1202 is 719998.

2. What are the Factors of 1198?

Answer: Factors of 1198 are 1, 2, 599, 1198. There are 4 integers that are factors of 1198. The greatest factor of 1198 is 1198.

3. What are the Factors of 1202?

Answer: Factors of 1202 are 1, 2, 601, 1202. There are 4 integers that are factors of 1202. The greatest factor of 1202 is 1202.

4. How to Find the LCM of 1198 and 1202?

Answer:

Least Common Multiple of 1198 and 1202 = 719998

Step 1: Find the prime factorization of 1198

1198 = 2 x 599

Step 2: Find the prime factorization of 1202

1202 = 2 x 601

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

LCM = 719998 = 2 x 599 x 601

Step 4: Therefore, the least common multiple of 1198 and 1202 is 719998.