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

First common multiples: 1,980; 3,960; 5,940; …

1,980 is divisible by both: 1,980 ÷ 198 = 10; 1,980 ÷ 220 = 9 — and 10 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/198 by 10 and of y/220 by 9.

198 = 2 × 32 × 11

220 = 22 × 5 × 11

Prime198220Highest power
222222
332—32
5—55
11111111

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 32 × 5 × 11 = 1,980

More with these numbers

See Also

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