LCM for 75 and 135

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What's the Least Common Multiple (LCM) of 75 and 135?

Answer

LCM of 75 and 135 is
675

(Six hundred seventy-five)

Finding LCM for 75 and 135 using GCF of these numbers

The first method to find LCM for numbers 75 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 135 is 15, so

LCM = (75 × 135) ÷ 15

LCM = 10,125 ÷ 15

LCM = 675

Finding LCM for 75 and 135 by Listing Multiples

The second method to find LCM for numbers 75 and 135 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

Multiples of 135: 135, 270, 405, 540, 675, 810, 945

So the LCM for 75 and 135 is 675

Finding LCM for 75 and 135 by Prime Factorization

Another method to find LCM for numbers 75 and 135 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 135: 3, 3, 3, 5 (exponent form: 33, 51)

33 × 52 = 675

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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 135? (The answer is: 675). Select the first number (e.g. '75') and the second number (e.g. '135'). 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
75120600
751219,075
751229,150
751233,075
751249,300
75125375
751263,150
751279,525
751289,600
751293,225
751301,950
751319,825
751323,300
751339,975
7513410,050
75135675
7513610,200
7513710,275
751383,450
7513910,425
751402,100
751413,525
7514210,650
7514310,725
751443,600
751452,175
7514610,950
751473,675
7514811,100
7514911,175

FAQ

What's the Least Common Multiple (LCM) of 75 and 135?

LCM of 75 and 135 is 675

How to find the LCM of 75 and 135 using prime factorization?

To find the LCM of 75 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 675.

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 135: LCM = 675, GCF = 15.

See Also