Least Common Multiple of 7442 and 7447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7442 and 7447 the smallest integer that is 55420574 that is divisible by both numbers.

Least Common Multiple (LCM) of 7442 and 7447 is 55420574.

LCM(7442,7447) = 55420574

LCM of 7442 and 7447

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

LCM of:
and

Least Common Multiple of 7442 and 7447

LCM of 7442 and 7447 is 55420574

Least common multiple can be found by multiplying the highest exponent prime factors of 7442 and 7447. First we will calculate the prime factors of 7442 and 7447.

Prime Factorization of 7442


2 7442
61 3721
61 61
1

Prime factors of 7442 are 2,61. Prime factorization of 7442 in exponential form is:

7442 = 21×612

Prime Factorization of 7447


11 7447
677 677
1

Prime factors of 7447 are 11,677. Prime factorization of 7447 in exponential form is:

7447 = 111×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 7442 and 7447.

LCM(7442,7447) = 21×111×612×6771
LCM(7442,7447) = 55420574

Factors of 7442

List of positive integer factors of 7442 that divides 7442 without a remainder.

1, 2, 61, 122, 3721, 7442

Factors of 7447

List of positive integer factors of 7447 that divides 7447 without a remainder.

1, 11, 677, 7447

Least Common Multiple of 7442 and 7447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7442 and 7447, than apply into the LCM equation.

GCF(7442,7447) = 1
LCM(7442,7447) = ( 7442 × 7447) / 1
LCM(7442,7447) = 55420574 / 1
LCM(7442,7447) = 55420574

Properties of LCM 7442 and 7447

(i) The LCM of 7447 and 7442 is associative

LCM of 7442 and 7447 = LCM of 7447 and 7442

Related Least Common Multiples of 7442

Related Least Common Multiples of 7447

Frequently Asked Questions on LCM of 7442 and 7447

1. What is the LCM of 7442 and 7447?

Answer: LCM of 7442 and 7447 is 55420574.

2. What are the Factors of 7442?

Answer: Factors of 7442 are 1, 2, 61, 122, 3721, 7442. There are 6 integers that are factors of 7442. The greatest factor of 7442 is 7442.

3. What are the Factors of 7447?

Answer: Factors of 7447 are 1, 11, 677, 7447. There are 4 integers that are factors of 7447. The greatest factor of 7447 is 7447.

4. How to Find the LCM of 7442 and 7447?

Answer:

Least Common Multiple of 7442 and 7447 = 55420574

Step 1: Find the prime factorization of 7442

7442 = 2 x 61 x 61

Step 2: Find the prime factorization of 7447

7447 = 11 x 677

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

LCM = 55420574 = 2 x 11 x 61 x 61 x 677

Step 4: Therefore, the least common multiple of 7442 and 7447 is 55420574.