Least Common Multiple of 7070 and 7074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7070 and 7074 the smallest integer that is 25006590 that is divisible by both numbers.

Least Common Multiple (LCM) of 7070 and 7074 is 25006590.

LCM(7070,7074) = 25006590

LCM of 7070 and 7074

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

LCM of:
and

Least Common Multiple of 7070 and 7074

LCM of 7070 and 7074 is 25006590

Least common multiple can be found by multiplying the highest exponent prime factors of 7070 and 7074. First we will calculate the prime factors of 7070 and 7074.

Prime Factorization of 7070


2 7070
5 3535
7 707
101 101
1

Prime factors of 7070 are 2, 5, 7,101. Prime factorization of 7070 in exponential form is:

7070 = 21×51×71×1011

Prime Factorization of 7074


2 7074
3 3537
3 1179
3 393
131 131
1

Prime factors of 7074 are 2, 3,131. Prime factorization of 7074 in exponential form is:

7074 = 21×33×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7070 and 7074.

LCM(7070,7074) = 21×33×51×71×1011×1311
LCM(7070,7074) = 25006590

Factors of 7070

List of positive integer factors of 7070 that divides 7070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070

Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074

Least Common Multiple of 7070 and 7074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7070 and 7074, than apply into the LCM equation.

GCF(7070,7074) = 2
LCM(7070,7074) = ( 7070 × 7074) / 2
LCM(7070,7074) = 50013180 / 2
LCM(7070,7074) = 25006590

Properties of LCM 7070 and 7074

(i) The LCM of 7074 and 7070 is associative

LCM of 7070 and 7074 = LCM of 7074 and 7070

Related Least Common Multiples of 7070

Related Least Common Multiples of 7074

Frequently Asked Questions on LCM of 7070 and 7074

1. What is the LCM of 7070 and 7074?

Answer: LCM of 7070 and 7074 is 25006590.

2. What are the Factors of 7070?

Answer: Factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070. There are 16 integers that are factors of 7070. The greatest factor of 7070 is 7070.

3. What are the Factors of 7074?

Answer: Factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074. There are 16 integers that are factors of 7074. The greatest factor of 7074 is 7074.

4. How to Find the LCM of 7070 and 7074?

Answer:

Least Common Multiple of 7070 and 7074 = 25006590

Step 1: Find the prime factorization of 7070

7070 = 2 x 5 x 7 x 101

Step 2: Find the prime factorization of 7074

7074 = 2 x 3 x 3 x 3 x 131

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

LCM = 25006590 = 2 x 3 x 3 x 3 x 5 x 7 x 101 x 131

Step 4: Therefore, the least common multiple of 7070 and 7074 is 25006590.