LCM for 70 and 500

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 500?

Answer

LCM of 70 and 500 is 3,500

(Three thousand, five hundred)

Finding LCM for 70 and 500 using GCF of these numbers

The first method to find LCM for numbers 70 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 500 is 10, so

LCM = (70 × 500) ÷ 10

LCM = 35000 ÷ 10

LCM = 3500

Finding LCM for 70 and 500 by Listing Multiples

The second method to find LCM for numbers 70 and 500 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820, 1890, 1960, 2030, 2100, 2170, 2240, 2310, 2380, 2450, 2520, 2590, 2660, 2730, 2800, 2870, 2940, 3010, 3080, 3150, 3220, 3290, 3360, 3430, 3500, 3570, 3640

Multiples of 500: 500, 1000, 1500, 2000, 2500, 3000, 3500, 4000, 4500

So the LCM for 70 and 500 is 3500

Finding LCM for 70 and 500 by Prime Factorization

Another method to find LCM for numbers 70 and 500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)

All Prime Factors of 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)

22 × 53 × 71 = 3500

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 70 and 500? (The answer is: 3500). Select the first number (e.g. '70') and the second number (e.g. '500'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
555005500
565007000
5750028500
5850014500
5950029500
605001500
6150030500
6250015500
6350031500
645008000
655006500
6650016500
6750033500
685008500
6950034500
705003500
7150035500
725009000
7350036500
7450018500
755001500
765009500
7750038500
7850019500
7950039500
805002000
8150040500
8250020500
8350041500
8450010500

FAQ

What's the Least Common Multiple (LCM) of 70 and 500?

LCM of 70 and 500 is 3,500

How to find the LCM of 70 and 500 using prime factorization?

To find the LCM of 70 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,500.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 70 and 500: LCM = 3,500, GCF = 10.

See Also