Least Common Multiple of 11070 and 11074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11070 and 11074 the smallest integer that is 61294590 that is divisible by both numbers.

Least Common Multiple (LCM) of 11070 and 11074 is 61294590.

LCM(11070,11074) = 61294590

LCM of 11070 and 11074

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

LCM of:
and

Least Common Multiple of 11070 and 11074

LCM of 11070 and 11074 is 61294590

Least common multiple can be found by multiplying the highest exponent prime factors of 11070 and 11074. First we will calculate the prime factors of 11070 and 11074.

Prime Factorization of 11070


2 11070
3 5535
3 1845
3 615
5 205
41 41
1

Prime factors of 11070 are 2, 3, 5,41. Prime factorization of 11070 in exponential form is:

11070 = 21×33×51×411

Prime Factorization of 11074


2 11074
7 5537
7 791
113 113
1

Prime factors of 11074 are 2, 7,113. Prime factorization of 11074 in exponential form is:

11074 = 21×72×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 11070 and 11074.

LCM(11070,11074) = 21×33×51×72×411×1131
LCM(11070,11074) = 61294590

Factors of 11070

List of positive integer factors of 11070 that divides 11070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535, 11070

Factors of 11074

List of positive integer factors of 11074 that divides 11074 without a remainder.

1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074

Least Common Multiple of 11070 and 11074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11070 and 11074, than apply into the LCM equation.

GCF(11070,11074) = 2
LCM(11070,11074) = ( 11070 × 11074) / 2
LCM(11070,11074) = 122589180 / 2
LCM(11070,11074) = 61294590

Properties of LCM 11070 and 11074

(i) The LCM of 11074 and 11070 is associative

LCM of 11070 and 11074 = LCM of 11074 and 11070

Related Least Common Multiples of 11070

Related Least Common Multiples of 11074

Frequently Asked Questions on LCM of 11070 and 11074

1. What is the LCM of 11070 and 11074?

Answer: LCM of 11070 and 11074 is 61294590.

2. What are the Factors of 11070?

Answer: Factors of 11070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535, 11070. There are 32 integers that are factors of 11070. The greatest factor of 11070 is 11070.

3. What are the Factors of 11074?

Answer: Factors of 11074 are 1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074. There are 12 integers that are factors of 11074. The greatest factor of 11074 is 11074.

4. How to Find the LCM of 11070 and 11074?

Answer:

Least Common Multiple of 11070 and 11074 = 61294590

Step 1: Find the prime factorization of 11070

11070 = 2 x 3 x 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 11074

11074 = 2 x 7 x 7 x 113

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

LCM = 61294590 = 2 x 3 x 3 x 3 x 5 x 7 x 7 x 41 x 113

Step 4: Therefore, the least common multiple of 11070 and 11074 is 61294590.