LCM for 75 and 105

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What's the Least Common Multiple (LCM) of 75 and 105?

Answer

LCM of 75 and 105 is
525

(Five hundred twenty-five)

Finding LCM for 75 and 105 using GCF of these numbers

The first method to find LCM for numbers 75 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 105 is 15, so

LCM = (75 × 105) ÷ 15

LCM = 7,875 ÷ 15

LCM = 525

Finding LCM for 75 and 105 by Listing Multiples

The second method to find LCM for numbers 75 and 105 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

Multiples of 105: 105, 210, 315, 420, 525, 630, 735

So the LCM for 75 and 105 is 525

Finding LCM for 75 and 105 by Prime Factorization

Another method to find LCM for numbers 75 and 105 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 105: 3, 5, 7 (exponent form: 31, 51, 71)

31 × 52 × 71 = 525

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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 105? (The answer is: 525). Select the first number (e.g. '75') and the second number (e.g. '105'). 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
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LCM Table

Number 1Number 2LCM
7590450
75916,825
75926,900
75932,325
75947,050
75951,425
75962,400
75977,275
75987,350
75992,475
75100300
751017,575
751022,550
751037,725
751047,800
75105525
751067,950
751078,025
751082,700
751098,175
751101,650
751112,775
751128,400
751138,475
751142,850
751151,725
751168,700
751172,925
751188,850
751198,925

FAQ

What's the Least Common Multiple (LCM) of 75 and 105?

LCM of 75 and 105 is 525

How to find the LCM of 75 and 105 using prime factorization?

To find the LCM of 75 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 525.

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 105: LCM = 525, GCF = 15.

See Also