Least Common Multiple of 3984, 9964

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 3984, 9964 i.e. 9924144 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3984, 9964 is 9924144.

LCM(3984, 9964) = 9924144

LCM of 3984, 9964

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

LCM of:

Least Common Multiple of 3984,9964

Least Common Multiple (LCM) of 3984,9964 is 9924144

2 3984, 9964
2 1992, 4982
996, 2491

∴ So the LCM of the given numbers is 2 x 2 x 996 x 2491 = 9924144

Least Common Multiple of 3984,9964 with GCF Formula

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

We need to calculate greatest common factor of 3984,9964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3984,9964) = 4

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

GCF(3984,9964) x common factors =4 x 1 = 4

LCM(3984,9964) = ( 3984 × 9964 ) / 4

LCM(3984,9964) = 39696576 / 4

LCM(3984,9964) = 9924144

∴ Least Common Multiple of 3984,9964 is 9924144

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 3984, 9964

1. What is the LCM of 3984, 9964?

Answer: LCM of 3984, 9964 is 9924144.

2. What are the Factors of 9924144?

Answer: Factors of 9924144 are . There are integers that are factors of 9924144

3. How to Find the LCM of 3984, 9964 ?

Least Common Multiple of 3984, 9964.

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(3984, 9964) = 2 x 2 x 2 x 2 x 3 x 47 x 53 x 83 = 9924144.