LCM for 220 and 420

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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 = 92,400 ÷ 20

LCM = 4,620

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 4,620

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 = 4,620

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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: 4,620). 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
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LCM Table

Number 1Number 2LCM
22040517,820
22040644,660
2204078,140
22040822,440
22040989,980
2204109,020
22041190,420
22041222,660
22041390,860
22041445,540
22041518,260
22041622,880
22041791,740
2204184,180
22041992,180
2204204,620
22042192,620
22042246,420
22042393,060
22042423,320
22042518,700
22042646,860
22042793,940
22042823,540
2204298,580
2204309,460
22043194,820
22043223,760
22043395,260
22043447,740

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