LCM for 180 and 420

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 180 and 420?

Answer

LCM of 180 and 420 is
1,260

(One thousand two hundred sixty)

Finding LCM for 180 and 420 using GCF of these numbers

The first method to find LCM for numbers 180 and 420 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 420 is 60, so

LCM = (180 × 420) ÷ 60

LCM = 75,600 ÷ 60

LCM = 1,260

Finding LCM for 180 and 420 by Listing Multiples

The second method to find LCM for numbers 180 and 420 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 180: 180, 360, 540, 720, 900, 1,080, 1,260, 1,440, 1,620

Multiples of 420: 420, 840, 1,260, 1,680, 2,100

So the LCM for 180 and 420 is 1,260

Finding LCM for 180 and 420 by Prime Factorization

Another method to find LCM for numbers 180 and 420 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

All Prime Factors of 420: 2, 2, 3, 5, 7 (exponent form: 22, 31, 51, 71)

22 × 32 × 51 × 71 = 1,260

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 180 and 420? (The answer is: 1,260). Select the first number (e.g. '180') and the second number (e.g. '420'). 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
1804051,620
18040636,540
18040773,260
1804086,120
18040973,620
1804107,380
18041124,660
18041218,540
18041374,340
1804144,140
18041514,940
18041618,720
18041725,020
18041837,620
18041975,420
1804201,260
18042175,780
18042237,980
1804238,460
18042419,080
18042515,300
18042612,780
18042776,860
18042819,260
18042925,740
1804307,740
18043177,580
1804322,160
18043377,940
18043439,060

FAQ

What's the Least Common Multiple (LCM) of 180 and 420?

LCM of 180 and 420 is 1,260

How to find the LCM of 180 and 420 using prime factorization?

To find the LCM of 180 and 420, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 180 and 420: LCM = 1,260, GCF = 60.

See Also