Least Common Multiple of 1428, 1965

Q: How to Find the LCM of 1428, 1965 ?

Least Common Multiple of 1428, 1965 = 935340 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(1428, 1965) = 2 x 2 x 3 x 5 x 7 x 17 x 131 = 935340.

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 1428, 1965 i.e. 935340 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1428, 1965 is 935340.

LCM(1428, 1965) = 935340

LCM of 1428, 1965

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

Least Common Multiple of 1428, 1965 by common division method
Least Common Multiple of 1428, 1965 with GCF Formula

Least Common Multiple of 1428,1965

Least Common Multiple (LCM) of 1428,1965 is 935340

3	1428, 1965
	476, 655

∴ So the LCM of the given numbers is 3 x 476 x 655 = 935340

Least Common Multiple of 1428,1965 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 1428,1965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1428,1965) = 3

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

GCF(1428,1965) x common factors =3 x 1 = 3

LCM(1428,1965) = ( 1428 × 1965 ) / 3

LCM(1428,1965) = 2806020 / 3

LCM(1428,1965) = 935340

∴ Least Common Multiple of 1428,1965 is 935340

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 1428, 1965

1. What is the LCM of 1428, 1965?

Answer: LCM of 1428, 1965 is 935340.

2. What are the Factors of 935340?

Answer: Factors of 935340 are . There are integers that are factors of 935340

3. How to Find the LCM of 1428, 1965 ?

Least Common Multiple of 1428, 1965.

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(1428, 1965) = 2 x 2 x 3 x 5 x 7 x 17 x 131 = 935340.