LCM for 220 and 420

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 220 and 420?

Answer

LCM of 220 and 420 is 4,620

(Four thousand, six hundred twenty)

Finding LCM for 220 and 420 using GCF of these numbers

The first method to find LCM for numbers 220 and 420 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 220 and 420 is 20, so

LCM = (220 × 420) ÷ 20

LCM = 92400 ÷ 20

LCM = 4620

Finding LCM for 220 and 420 by Listing Multiples

The second method to find LCM for numbers 220 and 420 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 220: 220, 440, 660, 880, 1100, 1320, 1540, 1760, 1980, 2200, 2420, 2640, 2860, 3080, 3300, 3520, 3740, 3960, 4180, 4400, 4620, 4840, 5060

Multiples of 420: 420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200, 4620, 5040, 5460

So the LCM for 220 and 420 is 4620

Finding LCM for 220 and 420 by Prime Factorization

Another method to find LCM for numbers 220 and 420 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 220: 2, 2, 5, 11 (exponent form: 22, 51, 111)

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

22 × 51 × 111 × 31 × 71 = 4620

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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 220 and 420? (The answer is: 4620). Select the first number (e.g. '220') 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
20542017220
20642043260
20742028980
20842021840
20942087780
210420420
21142088620
21242022260
21342029820
21442044940
21542018060
2164207560
21742013020
21842045780
21942030660
2204204620
22142092820
22242015540
22342093660
2244203360
2254206300
22642047460
22742095340
2284207980
22942096180
2304209660
2314204620
23242024360
23342097860
23442016380

FAQ

What's the Least Common Multiple (LCM) of 220 and 420?

LCM of 220 and 420 is 4,620

How to find the LCM of 220 and 420 using prime factorization?

To find the LCM of 220 and 420, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,620.

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 220 and 420: LCM = 4,620, GCF = 20.

See Also