LCM for 70 and 240

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 240?

Answer

LCM of 70 and 240 is 1,680

(One thousand, six hundred eighty)

Finding LCM for 70 and 240 using GCF of these numbers

The first method to find LCM for numbers 70 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 240 is 10, so

LCM = (70 × 240) ÷ 10

LCM = 16800 ÷ 10

LCM = 1680

Finding LCM for 70 and 240 by Listing Multiples

The second method to find LCM for numbers 70 and 240 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

Multiples of 240: 240, 480, 720, 960, 1200, 1440, 1680, 1920, 2160

So the LCM for 70 and 240 is 1680

Finding LCM for 70 and 240 by Prime Factorization

Another method to find LCM for numbers 70 and 240 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 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)

24 × 51 × 71 × 31 = 1680

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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 240? (The answer is: 1680). Select the first number (e.g. '70') and the second number (e.g. '240'). 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
70110770
701151610
701251750
70130910
701351890
701452030
701601120
701801260
701852590
701952730
702001400
702052870
70210210
702153010
702301610
702401680
70245490
702653710
702701890
702732730
702753850
702902030
702954130
703002100
703054270
703102170
703202240
703302310
703354690
70350350

FAQ

What's the Least Common Multiple (LCM) of 70 and 240?

LCM of 70 and 240 is 1,680

How to find the LCM of 70 and 240 using prime factorization?

To find the LCM of 70 and 240, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,680.

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 240: LCM = 1,680, GCF = 10.

See Also