LCM for 75 and 180

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 75 and 180?

Answer

LCM of 75 and 180 is
900

(Nine hundred)

Finding LCM for 75 and 180 using GCF of these numbers

The first method to find LCM for numbers 75 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 180 is 15, so

LCM = (75 × 180) ÷ 15

LCM = 13,500 ÷ 15

LCM = 900

Finding LCM for 75 and 180 by Listing Multiples

The second method to find LCM for numbers 75 and 180 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, 1050

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260

So the LCM for 75 and 180 is 900

Finding LCM for 75 and 180 by Prime Factorization

Another method to find LCM for numbers 75 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

32 × 52 × 22 = 900

Related Calculations

See Also

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 180? (The answer is: 900). Select the first number (e.g. '75') 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

LCM Table

Number 1Number 2LCM
75165825
7516612,450
7516712,525
751684,200
7516912,675
751702,550
751714,275
7517212,900
7517312,975
751744,350
75175525
7517613,200
751774,425
7517813,350
7517913,425
75180900
7518113,575
7518213,650
751834,575
7518413,800
751852,775
751864,650
7518714,025
7518814,100
751894,725
751902,850
7519114,325
751924,800
7519314,475
7519414,550

FAQ

What's the Least Common Multiple (LCM) of 75 and 180?

LCM of 75 and 180 is 900

How to find the LCM of 75 and 180 using prime factorization?

To find the LCM of 75 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 180: LCM = 900, GCF = 15.

See Also