LCM for 75 and 80

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What's the Least Common Multiple (LCM) of 75 and 80?

Answer

LCM of 75 and 80 is
1,200

(One thousand two hundred)

Finding LCM for 75 and 80 using GCF of these numbers

The first method to find LCM for numbers 75 and 80 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 80 is 5, so

LCM = (75 × 80) ÷ 5

LCM = 6,000 ÷ 5

LCM = 1,200

Finding LCM for 75 and 80 by Listing Multiples

The second method to find LCM for numbers 75 and 80 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1,050, 1,125, 1,200, 1,275, 1,350

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1,040, 1,120, 1,200, 1,280, 1,360

So the LCM for 75 and 80 is 1,200

Finding LCM for 75 and 80 by Prime Factorization

Another method to find LCM for numbers 75 and 80 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

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

31 × 52 × 24 = 1,200

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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 75 and 80? (The answer is: 1,200). Select the first number (e.g. '75') and the second number (e.g. '80'). 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
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LCM Table

Number 1Number 2LCM
7565975
75661,650
75675,025
75685,100
75691,725
75701,050
75715,325
75721,800
75735,475
75745,550
757575
75765,700
75775,775
75781,950
75795,925
75801,200
75812,025
75826,150
75836,225
75842,100
75851,275
75866,450
75872,175
75886,600
75896,675
7590450
75916,825
75926,900
75932,325
75947,050

FAQ

What's the Least Common Multiple (LCM) of 75 and 80?

LCM of 75 and 80 is 1,200

How to find the LCM of 75 and 80 using prime factorization?

To find the LCM of 75 and 80, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,200.

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 75 and 80: LCM = 1,200, GCF = 5.

See Also