LCM for 198 and 220

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 43560 ÷ 22

LCM = 1980

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 1980

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 = 1980

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: 1980). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
18322040260
18422010120
1852208140
18622020460
1872203740
18822010340
18922041580
1902204180
19122042020
19222010560
19322042460
19422021340
1952208580
19622010780
19722043340
1982201980
19922043780
2002202200
20122044220
20222022220
20322044660
20422011220
2052209020
20622022660
20722045540
20822011440
2092204180
2102204620
21122046420
21222011660

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