Least Common Multiple of 2160, 1972

Q: How to Find the LCM of 2160, 1972 ?

Least Common Multiple of 2160, 1972 = 1064880 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(2160, 1972) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 29 = 1064880.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 2160, 1972 i.e. 1064880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 2160, 1972 is 1064880.

LCM(2160, 1972) = 1064880

LCM of 2160, 1972

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

Least Common Multiple of 2160, 1972 by common division method
Least Common Multiple of 2160, 1972 with GCF Formula

Least Common Multiple of 2160,1972

Least Common Multiple (LCM) of 2160,1972 is 1064880

2	2160, 1972
2	1080, 986
	540, 493

∴ So the LCM of the given numbers is 2 x 2 x 540 x 493 = 1064880

Least Common Multiple of 2160,1972 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 2160,1972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2160,1972) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(2160,1972) x common factors =4 x 1 = 4

LCM(2160,1972) = ( 2160 × 1972 ) / 4

LCM(2160,1972) = 4259520 / 4

LCM(2160,1972) = 1064880

∴ Least Common Multiple of 2160,1972 is 1064880

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 2160, 1972

1. What is the LCM of 2160, 1972?

Answer: LCM of 2160, 1972 is 1064880.

2. What are the Factors of 1064880?

Answer: Factors of 1064880 are . There are integers that are factors of 1064880

3. How to Find the LCM of 2160, 1972 ?

Least Common Multiple of 2160, 1972.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(2160, 1972) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 29 = 1064880.