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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?. Find the LCM of 70 and 180 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
551801980
561802520
571803420
581805220
5918010620
60180180
6118010980
621805580
631801260
641802880
651802340
661801980
6718012060
681803060
691804140
701801260
7118012780
72180360
7318013140
741806660
75180900
761803420
7718013860
781802340
7918014220
80180720
811801620
821807380
8318014940
841801260

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