Least Common Multiple of 7469 and 7476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7469 and 7476 the smallest integer that is 7976892 that is divisible by both numbers.

Least Common Multiple (LCM) of 7469 and 7476 is 7976892.

LCM(7469,7476) = 7976892

LCM of 7469 and 7476

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

LCM of:
and

Least Common Multiple of 7469 and 7476

LCM of 7469 and 7476 is 7976892

Least common multiple can be found by multiplying the highest exponent prime factors of 7469 and 7476. First we will calculate the prime factors of 7469 and 7476.

Prime Factorization of 7469


7 7469
11 1067
97 97
1

Prime factors of 7469 are 7, 11,97. Prime factorization of 7469 in exponential form is:

7469 = 71×111×971

Prime Factorization of 7476


2 7476
2 3738
3 1869
7 623
89 89
1

Prime factors of 7476 are 2, 3, 7,89. Prime factorization of 7476 in exponential form is:

7476 = 22×31×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7469 and 7476.

LCM(7469,7476) = 22×31×71×111×891×971
LCM(7469,7476) = 7976892

Factors of 7469

List of positive integer factors of 7469 that divides 7469 without a remainder.

1, 7, 11, 77, 97, 679, 1067, 7469

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476

Least Common Multiple of 7469 and 7476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7469 and 7476, than apply into the LCM equation.

GCF(7469,7476) = 7
LCM(7469,7476) = ( 7469 × 7476) / 7
LCM(7469,7476) = 55838244 / 7
LCM(7469,7476) = 7976892

Properties of LCM 7469 and 7476

(i) The LCM of 7476 and 7469 is associative

LCM of 7469 and 7476 = LCM of 7476 and 7469

Related Least Common Multiples of 7469

Related Least Common Multiples of 7476

Frequently Asked Questions on LCM of 7469 and 7476

1. What is the LCM of 7469 and 7476?

Answer: LCM of 7469 and 7476 is 7976892.

2. What are the Factors of 7469?

Answer: Factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469. There are 8 integers that are factors of 7469. The greatest factor of 7469 is 7469.

3. What are the Factors of 7476?

Answer: Factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476. There are 24 integers that are factors of 7476. The greatest factor of 7476 is 7476.

4. How to Find the LCM of 7469 and 7476?

Answer:

Least Common Multiple of 7469 and 7476 = 7976892

Step 1: Find the prime factorization of 7469

7469 = 7 x 11 x 97

Step 2: Find the prime factorization of 7476

7476 = 2 x 2 x 3 x 7 x 89

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

LCM = 7976892 = 2 x 2 x 3 x 7 x 11 x 89 x 97

Step 4: Therefore, the least common multiple of 7469 and 7476 is 7976892.