Least Common Multiple of 7500, 1970

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 7500, 1970 i.e. 1477500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 7500, 1970 is 1477500.

LCM(7500, 1970) = 1477500

LCM of 7500, 1970

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

LCM of:

Least Common Multiple of 7500,1970

Least Common Multiple (LCM) of 7500,1970 is 1477500

2 7500, 1970
5 3750, 985
750, 197

∴ So the LCM of the given numbers is 2 x 5 x 750 x 197 = 1477500

Least Common Multiple of 7500,1970 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 7500,1970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7500,1970) = 10

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

GCF(7500,1970) x common factors =10 x 1 = 10

LCM(7500,1970) = ( 7500 × 1970 ) / 10

LCM(7500,1970) = 14775000 / 10

LCM(7500,1970) = 1477500

∴ Least Common Multiple of 7500,1970 is 1477500

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 7500, 1970

1. What is the LCM of 7500, 1970?

Answer: LCM of 7500, 1970 is 1477500.

2. What are the Factors of 1477500?

Answer: Factors of 1477500 are . There are integers that are factors of 1477500

3. How to Find the LCM of 7500, 1970 ?

Least Common Multiple of 7500, 1970.

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(7500, 1970) = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 197 = 1477500.