LCM for 80 and 350

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 80 and 350?

Answer

LCM of 80 and 350 is 2,800

(Two thousand, eight hundred)

Finding LCM for 80 and 350 using GCF of these numbers

The first method to find LCM for numbers 80 and 350 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 80 and 350 is 10, so

LCM = (80 × 350) ÷ 10

LCM = 28000 ÷ 10

LCM = 2800

Finding LCM for 80 and 350 by Listing Multiples

The second method to find LCM for numbers 80 and 350 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840, 1920, 2000, 2080, 2160, 2240, 2320, 2400, 2480, 2560, 2640, 2720, 2800, 2880, 2960

Multiples of 350: 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500

So the LCM for 80 and 350 is 2800

Finding LCM for 80 and 350 by Prime Factorization

Another method to find LCM for numbers 80 and 350 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)

All Prime Factors of 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)

24 × 52 × 71 = 2800

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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 80 and 350? (The answer is: 2800). Select the first number (e.g. '80') and the second number (e.g. '350'). 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
653504550
6635011550
6735023450
6835011900
6935024150
70350350
7135024850
7235012600
7335025550
7435012950
753501050
7635013300
773503850
7835013650
7935027650
803502800
8135028350
8235014350
8335029050
843502100
853505950
8635015050
8735030450
8835015400
8935031150
903503150
913504550
9235016100
9335032550
9435016450

FAQ

What's the Least Common Multiple (LCM) of 80 and 350?

LCM of 80 and 350 is 2,800

How to find the LCM of 80 and 350 using prime factorization?

To find the LCM of 80 and 350, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,800.

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 80 and 350: LCM = 2,800, GCF = 10.

See Also