LCM for 198 and 220

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What's the Least Common Multiple (LCM) of 198 and 220?

Answer

LCM of 198 and 220 is
1,980

(One thousand nine hundred eighty)

Finding LCM for 198 and 220 using GCF of these numbers

The first method to find LCM for numbers 198 and 220 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 198 and 220 is 22, so

LCM = (198 × 220) ÷ 22

LCM = 43,560 ÷ 22

LCM = 1,980

Finding LCM for 198 and 220 by Listing Multiples

The second method to find LCM for numbers 198 and 220 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 198: 198, 396, 594, 792, 990, 1188, 1386, 1584, 1782, 1980, 2178, 2376

Multiples of 220: 220, 440, 660, 880, 1100, 1320, 1540, 1760, 1980, 2200, 2420

So the LCM for 198 and 220 is 1,980

Finding LCM for 198 and 220 by Prime Factorization

Another method to find LCM for numbers 198 and 220 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 198: 2, 3, 3, 11 (exponent form: 21, 32, 111)

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

22 × 32 × 111 × 51 = 1,980

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 198 and 220? (The answer is: 1,980). Select the first number (e.g. '198') and the second number (e.g. '220'). 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
19820540,590
19820620,394
1982074,554
19820820,592
1982093,762
1982106,930
19821141,778
19821220,988
19821314,058
19821421,186
19821542,570
1982162,376
19821742,966
19821821,582
19821914,454
1982201,980
19822143,758
1982227,326
19822344,154
19822422,176
1982254,950
19822622,374
19822744,946
1982287,524
19822945,342
19823022,770
1982311,386
19823222,968
19823346,134
1982342,574

FAQ

What's the Least Common Multiple (LCM) of 198 and 220?

LCM of 198 and 220 is 1,980

How to find the LCM of 198 and 220 using prime factorization?

To find the LCM of 198 and 220, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,980.

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 198 and 220: LCM = 1,980, GCF = 22.

See Also