Least Common Multiple of 6070 and 6077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6070 and 6077 the smallest integer that is 36887390 that is divisible by both numbers.

Least Common Multiple (LCM) of 6070 and 6077 is 36887390.

LCM(6070,6077) = 36887390

LCM of 6070 and 6077

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

LCM of:
and

Least Common Multiple of 6070 and 6077

LCM of 6070 and 6077 is 36887390

Least common multiple can be found by multiplying the highest exponent prime factors of 6070 and 6077. First we will calculate the prime factors of 6070 and 6077.

Prime Factorization of 6070


2 6070
5 3035
607 607
1

Prime factors of 6070 are 2, 5,607. Prime factorization of 6070 in exponential form is:

6070 = 21×51×6071

Prime Factorization of 6077


59 6077
103 103
1

Prime factors of 6077 are 59,103. Prime factorization of 6077 in exponential form is:

6077 = 591×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6070 and 6077.

LCM(6070,6077) = 21×51×591×1031×6071
LCM(6070,6077) = 36887390

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1, 2, 5, 10, 607, 1214, 3035, 6070

Factors of 6077

List of positive integer factors of 6077 that divides 6077 without a remainder.

1, 59, 103, 6077

Least Common Multiple of 6070 and 6077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6070 and 6077, than apply into the LCM equation.

GCF(6070,6077) = 1
LCM(6070,6077) = ( 6070 × 6077) / 1
LCM(6070,6077) = 36887390 / 1
LCM(6070,6077) = 36887390

Properties of LCM 6070 and 6077

(i) The LCM of 6077 and 6070 is associative

LCM of 6070 and 6077 = LCM of 6077 and 6070

Related Least Common Multiples of 6070

Related Least Common Multiples of 6077

Frequently Asked Questions on LCM of 6070 and 6077

1. What is the LCM of 6070 and 6077?

Answer: LCM of 6070 and 6077 is 36887390.

2. What are the Factors of 6070?

Answer: Factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070. There are 8 integers that are factors of 6070. The greatest factor of 6070 is 6070.

3. What are the Factors of 6077?

Answer: Factors of 6077 are 1, 59, 103, 6077. There are 4 integers that are factors of 6077. The greatest factor of 6077 is 6077.

4. How to Find the LCM of 6070 and 6077?

Answer:

Least Common Multiple of 6070 and 6077 = 36887390

Step 1: Find the prime factorization of 6070

6070 = 2 x 5 x 607

Step 2: Find the prime factorization of 6077

6077 = 59 x 103

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

LCM = 36887390 = 2 x 5 x 59 x 103 x 607

Step 4: Therefore, the least common multiple of 6070 and 6077 is 36887390.