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LCM for 70 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 180?

Answer

LCM of 70 and 180 is 1,260

(One thousand, two hundred sixty)

Finding LCM for 70 and 180 using GCF of these numbers

The first method to find LCM for numbers 70 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 180 is 10, so

LCM = (70 × 180) ÷ 10

LCM = 12600 ÷ 10

LCM = 1260

Finding LCM for 70 and 180 by Listing Multiples

The second method to find LCM for numbers 70 and 180 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

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620

So the LCM for 70 and 180 is 1260

Finding LCM for 70 and 180 by Prime Factorization

Another method to find LCM for numbers 70 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

22 × 51 × 71 × 32 = 1260

Related Calculations

See Also

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What is the LCM of 70 and 180?. The LCM of 70 and 180 is 1260 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
70105210
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

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 180? (The answer is: 1260). Select the first number (e.g. '70') and the second number (e.g. '180'). 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

FAQ

What's the Least Common Multiple (LCM) of 70 and 180?

LCM of 70 and 180 is 1,260

How to find the LCM of 70 and 180 using prime factorization?

To find the LCM of 70 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 180: LCM = 1,260, GCF = 10.

See Also